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3 years ago

(x+y)² + 2(x+ y)(x- y) + (x– y)²

Mathematics

1 answer:

densk [106]3 years ago

6 0

Answer:

2x(x+y)(x-y)

Step-by-step explanation:

Given the expression;

(x+y)² + 2(x+ y)(x- y) + (x– y)²

Factorize

(x+y)² + (x+ y)(x- y) + (x+ y)(x- y) + (x– y)²

= (x+y)[x+y+(x-y)] +(x-y)[(x+y)+(x-y)]

= (x+y)(x-y)(x+y+(x-y))

= (x+y)(x-y)(x+y+x-y)

= (x+y)(x-y)(2x)

hence the expanded form is 2x(x+y)(x-y)

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$\text {Since there is a negative in the problem this tells us that the answer we get will be a negative.}$

$\text {Here are some tips on dividing/multiplying equations like this.}$

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Step-by-step explanation:

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GuDViN [60]

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using a graphic tool
see attached figure

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