Question

Simplify:

(a² - b²)²

Answer 1

Answer:

$Expansion \:(a^{2}-b^{2})^{2}\\=a^{4}+2a^{2}b^{2}+b^{4}$

Step-by-step explanation:

By algebraic identity:

(x-y)² = x²-2xy+y²

Here ,

x = a² , y = b²;

$Expansion \:(a^{2}-b^{2})^{2}\\=(a^{2})^{2}-2\times a^{2}\times b^{2}+(b^{2})^{2}\\=a^{4}+2a^{2}b^{2}+b^{4}$

Therefore,

$Expansion \:(a^{2}-b^{2})^{2}\\=a^{4}+2a^{2}b^{2}+b^{4}$

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