Question

4. Simplify. .
(i) (a²- b²)²​

Answer 1

Answer:

Answer: \\

\begin{gathered} Expansion \:(a^{2}-b^{2})^{2}\\=a^{4}+2a^{2}b^{2}+b^{4}\end{gathered}Expansion(a2−b2)2=a4+2a2b2+b4 \\

Step-by-step explanation: \\

By algebraic identity: \\

(x-y)² = x²-2xy+y² \\

Here , \\

x = a² , y = b²; \\

\begin{gathered} 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}\end{gathered}Expansion(a2−b2)2=(a2)2−2×a2×b2+(b2)2=a4+2a2b2+b4 \\

Therefore, \\

\begin{gathered} Expansion \:(a^{2}-b^{2})^{2}\\=a^{4}+2a^{2}b^{2}+b^{4}\end{gathered}Expansion(a2−b2)2=a4+2a2b2+b4 \\

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Answer 2

Answer:

(a²-b²)²

=(a+b²) (a-b²)

hope it helps....

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