Drag the factors to the correct locations on the image. Not all factors will be used.What is the factored form of this expressio

Question

3 months ago

10

n?

1 answer:

Afina-wow [57] · Answer 1 · 2024-08-16T13:15:30+03:00

(3m+5n)(9m²-15mn+25n²)

1) Let's factorize 27m³ +125n³.

27m³ +125n³ <em>Let's use x³ +y³ product to factorize that</em>

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x³ +y³ = (x +y)(x²-xy +y²)

2) So let's rewrite it, since 3³ = 27 and 5³ = 125

27m³ +125n³ =

Plug x =3m and y = 5n into those factors (x +y)(x²-xy +y²)

27m³ +125n³= (3m + 5n)(3²m² -5n*3m +5²n²)

27m³ +125n³= (3m+5n)(9m² - 15mn +25n²)

3) So the answer is

(3m+5n)(9m²-15mn+25n²)

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