CBSE Questions for Class 8 Maths Algebraic Expressions And Identities Quiz 3 - MCQExams.com

$$217\times 217+183\times 183=$$?
  • $$79698$$
  • $$80578$$
  • $$80698$$
  • $$81268$$
$$(a + b)^{2} = (a + b)\times$$ ____
  • $$ab$$
  • $$2ab$$
  • $$(a + b)$$
  • $$(a - b)$$
The value of $$(2.3 a^{5}b^{2})\times (1.2a^{2}b^{4})$$, when $$a = 1$$ and $$b = 0.5$$ is ________.
  • $$0.011625$$
  • $$0.043125$$
  • $$0.031825$$
  • $$0.041525$$
Find the product. $$\left ( \dfrac{2}{3}xy \right ) \times \left ( \dfrac{-9}{10}x^2 y^2 \right )$$
  • $$-\dfrac{1}{5}x^6 y^-3$$
  • $$-\dfrac{2}{7}x^2 y^7$$
  • $$-\dfrac{3}{5}x^3 y^3$$
  • $$-\dfrac{2}{5}y^3 x^3$$
Obtain the product of: $$a, a^2, a^3$$
  • $$ a^5$$
  • $$ a^4$$
  • $$ a^6$$
  • $$ 6^a$$
Find the product of $$\left ( -\dfrac{10}{3}pq^3 \right ) \times \left ( \dfrac{6}{5}p^3 q \right )$$
  • $$ p^4q^4$$
  • $$- 4p^4q^4$$
  • $$ 4p^2q^4$$
  • $$ 4q^4p^5$$
Find the product of $$(p^2 q^2)$$ and $$ (2p + q)$$.
  • $$2{ p }^{ 4 }{ q }^{ 2 }+{ 2p }^{ 2 }{ q }^{ 2 }$$
  • $$2{ p }^{ 4 }{ q }^{ 2 }+{ p }^{ 2 }{ q }^{ 2 }$$
  • $$2{ p }^{ 2 }{ q }^{ 2 }+{ p }^{ 2 }{ q }^{ 2 }$$
  • $$2{ p }^{ 3 }{ q }^{ 2 }+{ p }^{ 2 }{ q }^{ 3 }$$
Simplify the following: 
$$(\sqrt{3}-\sqrt{2})^{2}$$ is equal to $$5-2\sqrt{6}$$.
 If true then enter $$1$$ and if false then enter $$0$$.
  • $$1$$
  • $$0$$
  • $$-1$$
  • $$-2$$
Find the errors and correct the given expression.
$$(z + 5)^2 = z^2 + 25$$
  • $$(2z) = z^2 + 10z + 25$$
  • $$(z + 5) = z^2 + 10z + 25$$
  • $$(z + 5)^2 = z^2 + 10z + 25$$
  • $$(z + 10)^2 = z + 10 - 5$$
Find the product of given expressions:
$$a, 2b, 3c, 6abc$$
  • $$36a^2b^2c^2$$
  • $$6a^2b^2c^2$$
  • $$a^2b^2c^2$$
  • $$2a^36b^2c^2$$
Use the identity $$(x + a) (x + b) = x^2 + (a + b) x + ab$$ to find the given product:
$$(2x + 5y)$$$$(2x + 3y)$$.
  • $$ 4x^2 + 24xy - 15y^2$$
  • $$ 4x^2 + 16xy + 25y^2$$
  • $$ 4x^2 + 16xy + 15y^2$$
  • $$ x^2 + 16xy + 15y^2$$
Use the identity $$(x + a) (x + b) = x^2 + (a + b) x + ab$$ to find the given product:
$$(xyz +4) (xyz +2)$$.
  • $$ x^2 y^2 z^2+  6xyz $$
  • $$ x^2 y^2 z^2 + 8$$
  • $$ x^2 y^2 z^2 +  6xyz + 8$$
  • $$ x^2 y^2 z^2 -  6xyz + 8$$
Simplify :
$$(4m + 5n)^2 + (5m + 4n)^2$$.
  • $$41m^2 + 80mn + 41n^2$$
  • $$4m^2 - 54mn + 41n^2$$
  • $$41m + 80mn + 4n^2$$
  • $$41m^2 + 10mn + 41n^2$$
Simplify:
$$(m^2 - n^2m)^2 + 2m^3n^2$$.
  • $$m^4 - n^4m^2$$
  • $$m^4 + n^4m^2$$
  • $$m^4 + n^4$$
  • $$m^4 + n^4m^2 + 2m^3n^2$$
Use the identity $$(x + a) (x + b) = x^2 + (a + b) x + ab$$ to find the given product:
$$(4x + 5)$$$$(4x-1)$$.
  • $$16x^2 + 16x - 5$$
  • $$16x^2 - 16x - 5$$
  • $$16x^2 + 16x + 5$$
  • $$16x^2 + 12x - 5$$
Use the identity $$(x + a) (x + b) = x^2 + (a + b) x + ab$$ to find the given product:
$$(4x-5)$$$$ (4x-1)$$.
  • $$16x^2-24x + 5$$
  • $$16x^2+ 24x + 1$$
  • $$16x^2+ 20x + 4$$
  • $$16x^2+ 20x + 5$$
The product of $$4a^{2}, -6b^{2}$$ and $$3a^{2}b^{2}$$ is
  • $$a^{2}b^{2}$$
  • $$13a^{4}b^{4}$$
  • $$-72a^{4}b^{4}$$
  • $$a^{4}b^{4}$$
Use the identity $$(x + a) (x + b) = x^2 + (a + b) x + ab$$ to find the given product:
$$(2a^2 + 9)$$$$(2a^2 + 5)$$.
  • $$ 4a^4 + 28a^2 - 5$$
  • $$ 4a^4 + 28a^2 + 45$$
  • $$ 4a^3 + 28a^2 + 45$$
  • $$ a^4 + 28a^2 + 45$$
$$\displaystyle \left( x+8 \right) \left( x-8 \right) $$ is equal to
  • $$\displaystyle { x }^{ 2 }-16x+64$$
  • $$\displaystyle { x }^{ 2 }-64$$
  • $$\displaystyle { x }^{ 2 }+64$$
  • $$\displaystyle { x }^{ 2 }+16x-64$$
Simplify:
$$(2.5p -1.5q)^2- (1.5p-2.5q)^2$$.
  • $$4p^2 - 4q^2$$
  • $$6.25p^2 -4q^2$$
  • $$4p^2 - 2.25q^2$$
  • $$6.25p^2 - 2.25q^2$$
Simplify:
$$(ab + bc)^2 -  2ab^2c$$.
  • $$ab + bc$$
  • $$a^2b^2 - b^2c^2$$
  • $$a^2b^2 + b^2c^2$$
  • $$a^2b + c^2b$$
Find the product of: $$ \left ( \cfrac{2}{5}x^{2}y^{2}z^{5} \right ) \left ( -\cfrac{15}{8}x^{5}y^{3}z^{3} \right ) \left ( \sqrt{3}x^{7}y^{2}z^{3} \right )$$
Answer: $$-\cfrac{3\sqrt{3}}{4}x^{14} y^{7} z^{11}$$
  • True
  • False
The value of the product  $$(4a^{2}+3b)(9b^{2}+4a)$$ at $$a = 1,$$ b$$ = -2$$ is
  • $$60$$
  • $$-80$$
  • $$70$$
  • $$-50$$
Simplify : $$\displaystyle \left(\frac{3}{2}x - 0.45y\right)^2$$
  • $$2.25x^2-1.35xy+0.2015y^2$$
  • $$2.15x^2-1.35xy+0.2025y^2$$
  • $$2.25x^2-1.35xy+0.2025y^2$$
  • $$2.25x^2-1.25xy+0.2025y^2$$
Use the identity $$ (a+b)(a-b) = a^2-b^2$$ to evaluate:
$$103\times 97 $$.
  • $$8881$$
  • $$9991$$
  • $$9981$$
  • $$9891$$
Evaluate (using formulae): $$\displaystyle \frac{2.43 \times 2.43 - 2 \times 2.43 \times 1.67 +1.67 \times 1.67}{2.43 - 1.67}$$
  • $$0.76$$
  • $$0.55$$
  • $$1$$
  • $$1.4$$
Use the identity $$ (a+b)(a-b) = a^2-b^2$$ to evaluate:
$$9.8\times 10.2 $$.
  • $$98.96$$
  • $$99.86$$
  • $$98.86$$
  • $$99.96$$
State whether the statement is True or False.
Evaluate: $$(a+bc)(a-bc)(a^2+b^2c^2)$$ is equal to $$a^4-b^4c^4$$.
  • True
  • False
State whether the statement is True or False:
On evaluating $$(7x+\dfrac{2}{3}y)(7x-\dfrac{2}{3}y)$$ we get, $$49x^2-\dfrac{4}{9}y^2$$.
  • True
  • False
Use the identity $$ (a+b)(a-b)=a^2-b^2$$ to evaluate:
$$4.6\times 5.4 $$.
  • $$24.84$$
  • $$25.24$$
  • $$24.94$$
  • $$25.84$$
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