Question

Factorise
A^4x - B^4y

Answer 1

Answer:

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Answer 2

Factor 44 out of 4x2−4y24x2-4y2.

Factor 44 out of 4x24x2.

4(x2)−4y24(x2)-4y2

Factor 44 out of −4y2-4y2.

4(x2)+4(−y2)4(x2)+4(-y2)

Factor 44 out of 4(x2)+4(−y2)4(x2)+4(-y2).

4(x2−y2)4(x2-y2)

Factor.

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b)a2-b2=(a+b)(a-b) where a=xa=x and b=yb=y.

4((x+y)(x−y))4((x+y)(x-y))

Remove unnecessary parentheses.

4(x+y)(x−y)4(x+y)(x-y)

4x2−4y24x2-4y2

=4=4

==

=36=36

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Step-by-step explanation:

Hope it helps