mayatrepp mayatrepp

09-03-2017
Mathematics

Answered

A cube with side length 4p is stacked on another cube with side length 2q^2. What is the total volume of the cubes in factored form?

(see picture)

A cube with side length 4p is stacked on another cube with side length 2q 2. What is the total volume of the cubes in factored form? (see picture) class=

Verified Answer :

apologiabiology apologiabiology

09-03-2017

volume of cube=side³
ok, so you need to know the difference or sum of cubes
a³+b³=(a+b)(x²-xy+y²)
so

(4p)³+(2q²)³=
(4p+2q²)((4p)²-(4p)(2q²)+(2q²)²)=
(4p+2q²)(16p²-8pq²+4q⁴)

3rd option

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