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german
4 years ago
13

Write as a product:x^3+x^2y–4y–4xy^2(2y–5)–8y+20

Mathematics
1 answer:
marishachu [46]4 years ago
7 0

<u>Expression as product is :</u>

x^3+x^2y–4y–4x  = (x-2)(x+2)(x+y)

y^2(2y–5)–8y+20 = (y-2)(y+2)(2y-5)

<u>Step-by-step explanation:</u>

Here we need to write , following expression as product:

x^3+x^2y–4y–4x

⇒ x^3+x^2y-4y-4x

 ⇒ x^2(x+y)-4y-4x

 ⇒ x^2(x+y)-4(y+x)

 ⇒ (x^2-4)(x+y)

 ⇒ (x-2)(x+2)(x+y)

y^2(2y–5)–8y+20

⇒ y^2(2y-5)-8y+20

 ⇒  y^2(2y-5)-4(2)y+4(5)

 ⇒  y^2(2y-5)-4(2y-5)

 ⇒   (y^2-4)(2y-5)

 ⇒   (y-2)(y+2)(2y-5)

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