Question

( ax+ by ) ( cx + dy)

Answer 1

The value of the coefficient of the xy term when the expression is multiplied out and the like terms are collected is 2bc

Factoring expressions

Given the expression below;

( ax+ by ) ( cx + dy)

Expand to have:

( ax+ by ) ( cx + dy) = acx² + adxy + bcxy + bdy²

If ad=bc, the expression becomes;

( ax+ by ) ( cx + dy) = acx² + 2bcxy + bdy²

Substitute the value of ac and bd to have;

( ax+ by ) ( cx + dy)= 18x²  + 2bcxy + 50y²

Hence the value of the coefficient of the xy term when the expression is multiplied out and the like terms are collected is 2bc

Learn more on factoring here: brainly.com/question/24734894

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