Question

Apply the distributive property to factor out the greatest common factor.

25p+50q=?

HELP ASAP WORTH 15 POINTS

Answer 1

`\large\boxed{25p+50q=25(p+2q)}`

Explanation:

`\text{The distributive property}\\\\a(b+c)=ab+ac\\\\25p=\boxed5\cdot\boxed5\cdot p\\\\50q=2\cdot\boxed5\cdot\boxed5\cdot q\\\\GCF(25p,\ 50q)=\boxed5\cdot\boxed5=25\\\\25p+50q=25\cdot p+25\cdot2q=25(p+2q)`