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Apply the distributive property to factor out the greatest common factor. 25p+50q=? HELP ASAP WORTH 15 POINTS

Apply the distributive property to factor out the greatest common factor. 25p+50q=? HELP ASAP WORTH 15 POINTS
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Apply the distributive property to factor out the greatest common factor.

25p+50q=?

HELP ASAP WORTH 15 POINTS

asked
User Avik Aghajanyan
by
8.8k points

1 Answer

5 votes

Answer:


\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)

answered
User Mike Yantis
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