24x^(3)bx^(2) +36ax^(2)b factor completely, 20 points

Question

24
`x^(3)`b
`x^(2)` +36a
`x^(2)`b

factor completely, 20 points

Answer 1

Answer: 12x²b(2x³ + 3a)

Explanation:

When factoring, pull out what they have in common and leave the rest in the parenthesis)

24 x³ b x² + 36 a x² b

= 2 · 12 · x³ · b · x² + 3 · 12 · a · x² · b

= 12 · x² · b ( 2 · x³ + 3 · a )

= 12x²b (2x³ + 3a)