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Anit [1.1K]
2 years ago
11

( ax+ by ) ( cx + dy)

Mathematics
1 answer:
Cloud [144]2 years ago
4 0

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

<h3>Factoring expressions</h3>

Given the expression below;

( ax+ by ) ( cx + dy)

Expand to have:

<u>( ax+ by ) ( cx + dy) =</u> 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

#SPJ1

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Answer:

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