(a^2 b^2) =(a^2)^2 2 × a^2× b^2+(b^2)^2 [Using identity (a b)^2 =a^2 2ab+b^2] =a^4 2a^2b^2+b^4 ...

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

Algebraic Identities

i Simplify: a...

Question

Question 4(i)
Simplify:
$(a^{2} - b^{2})^{2}$

Open in App

Solution

$(a^{2} - b^{2}) = (a^{2})^{2} - 2 \times a^{2} \times b^{2} + (b^{2})^{2}$
$[U s i n g i d e n t i t y (a - b)^{2} = a^{2} - 2 a b + b^{2}]$
$= a^{4} - 2 a^{2} b^{2} + b^{4}$

Suggest Corrections

Similar questions

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

Question 3(ii)
Simplify:
$(a^{2} + 5) (b^{3} + 3) + 5$

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

Question 85 (xiii)

Expand the following, using suitable identities.

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

(a^{2} + 5) (b^{3} + 3) + 5

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program