Simplify- a-ba3-b3a2-b2

We know , (a^3 b^3) = (a b)( a^2 + ab + b^2) amp; (a^2 – b^2) = (a+b)(a b) So, (a+b)(a^3 b^3)(a^2 b^2) = (a+b)(a b)(a^2 +ab+ b^2 )(a+b)(a b) = ( a^2 + ab + ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Multiplication of Monomials

Simplify: a+b...

Question

Simplify: $\frac{(a + b) (a^{3} - b^{3})}{(a^{2} - b^{2})}$

Open in App

Solution

We know , $(a^{3} - b^{3}) = (a - b) (a^{2} + a b + b^{2})$
& $(a^{2} - b^{2}) = (a + b) (a - b)$

So, $\frac{(a + b) (a^{3} - b^{3})}{(a^{2} - b^{2})} = \frac{(a + b) (a - b) (a^{2} + a b + b^{2})}{(a + b) (a - b)} = (a^{2} + a b + b^{2})$

Suggest Corrections

Simplify: (a+b)(a3−b3)(a2−b2)

We know , (a3−b3)=(a−b)(a2+ab+b2) & (a2–b2)=(a+b)(a−b) So, (a+b)(a3−b3)(a2−b2)=(a+b)(a−b)(a2+ab+b2)(a+b)(a−b)=(a2+ab+b2)

Simplify: $\frac{(a + b) (a^{3} - b^{3})}{(a^{2} - b^{2})}$

We know , $(a^{3} - b^{3}) = (a - b) (a^{2} + a b + b^{2})$
& $(a^{2} - b^{2}) = (a + b) (a - b)$

So, $\frac{(a + b) (a^{3} - b^{3})}{(a^{2} - b^{2})} = \frac{(a + b) (a - b) (a^{2} + a b + b^{2})}{(a + b) (a - b)} = (a^{2} + a b + b^{2})$