Question

Fractorise (x+1)^2 * (x+1)^2–(y−1)^2 * (y−1)^2

Answer 1

Answer:

(x+1)²×(x+1)²-(y-1)²×(y-1)².

(x+1)²=x²+1²+2(x)(1)

=x²+1+2x.

(Because it is in the form of (a+b)²=a²+b²+2ab).

(y-1)²=y²+1²-2(y)(1)

=y²+1-2y.

(Because it is in the form of (a-b)²=a²+b²-2ab).

(x+1)²×(x+1)²-(y-1)²×(y-1)²=(x²+1+2x)×(x²+1+2x)-(y²+1-2y)×(y²+1-2y).

=x²+1+2x×x²+1+2x-y²+1-2y×y²+1-2y.

=x⁴+1+4x²-y⁴+1-4y².

(Because a^m×a^n=a^m+n).

I think this is your answer.