The correct option is D (a)^3 +(b)^3 The given expression is (a+b)(a^2+b^2 ab) nbsp; Expanding we get, a^3 + ab^2 a^2b + a^2b + b^3 ab^2 nbsp;= nb ...

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Byju's Answer

Standard VIII

Mathematics

Factors of a³ - b³

a+ba2+b2-a b=

Question

$(a + b) (a^{2} + b^{2} - a b)$ =

$(a)^{3} - (b)^{3}$

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$(a + b)^{3}$

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$(a - b)^{3}$

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$(a)^{3} + (b)^{3}$

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Solution

The correct option is D
$(a)^{3} + (b)^{3}$

The given expression is
$(a + b) (a^{2} + b^{2} - a b)$

Expanding we get,

$a^{3} + a b^{2} - a^{2} b + a^{2} b + b^{3} - a b^{2} = a^{3} + b^{3}$

Hence,
$(a + b) (a^{2} + b^{2} - a b)$ = $a^{3} + b^{3}$

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Similar questions

Question 84 (ix)

Simplify

$(a - b) (a^{2} + b^{2} + a b) - (a + b) (a^{2} + b^{2} - a b)$

Question 84 (ix)

Simplify

$(a - b) (a^{2} + b^{2} + a b) - (a + b) (a^{2} + b^{2} - a b)$

Q. Expand

a^{3} - b^{3}

Q. Simplify:

(a - b) (a^{2} + a b + b^{2})

$The product (a + b) (a - b) (a^{2} - a b + b^{2}) (a^{2} + a b + b^{2})$ is equal to

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(a+b)(a2+b2−ab) =

The correct option is D (a)3+(b)3 The given expression is (a+b)(a2+b2−ab) Expanding we get, a3+ab2−a2b+a2b+b3−ab2=a3+b3 Hence, (a+b)(a2+b2−ab) = a3+b3

$(a + b) (a^{2} + b^{2} - a b)$ =

The correct option is D
$(a)^{3} + (b)^{3}$

The given expression is
$(a + b) (a^{2} + b^{2} - a b)$

Expanding we get,

$a^{3} + a b^{2} - a^{2} b + a^{2} b + b^{3} - a b^{2} = a^{3} + b^{3}$

Hence,
$(a + b) (a^{2} + b^{2} - a b)$ = $a^{3} + b^{3}$