Question

ax+bywhole square minus bx+ay whole square​

Answer 1

(ax+by)²-(bx+ay)²

a²x²+b²y²+2axby-(b²x²+a²y²+2bxay)

a²x²+b²y²+2axby-b²x²-a²y²+2bxay

a²x²+b²y²-b²x²-a²y²

a²x²-a²y²+b²y²-b²x²

a²(x²-y²)+b²(y²-x²)

a²(x²-y²)-b²(x²-y²)

(a²-b²)(x²-y²)

U CAN ALSO EXPAND IT AS== (a+b)(a-b)(x+y)(x-y)

HOPE IT HELPS U...........

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Answer 2

(ax+by)²-(bx+ay)²

=a²x² + b²y² + 2a²b²x²y² - (b²x² + a²y² + 2a²b²x²y²)

=a²x² + b²y² + 2a²b²x²y² - b²x² - a²y² - 2a²b²x²y²

=a²x² + b²y² - b²x² - a²y²

=a²x² - a²y² - b²x² + b²y²

=a²(x²-y²) - b²(x²-y²)

=(a²-b²)(x²-y²)

=(a+b)(a-b)(x+y)(x-y)