Question

Which of the following is equivalent to 30p4q3r + 42p2r - 18p2q2r when it is completely factored? 3pr(10p3q3 + 12p - 9pq2) 6(5p4q3r + 7p2r - 3p2q2r) 6p2q2r(5p2q + 4) 6p2r(5p2q3 + 7 - 3q2) NextReset

Answer 1

The equivalent expression to the given expression is:

`6p^2r(5p^2q^3+7-3q^2)`

Explanation:

We are given an algebraic expression consisting of 3 terms as:

`30p^4q^3r+42p^2r-18p^2q^2r`

As we could see that each of the terms of the expression has a common factor as:
`6p^2r`

Hence, we take out common the common factor and write the remaining terms inside the bracket.

We will get our expression as:

`6p^2r(5p^2q^3+7-3q^2)`

Answer 2

30p^4q^3r + 42p^2r - 18p^2q^2r = 6p^2r(5p^2q^3 + 7 - 3q^2)