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damaskus [11]
3 years ago
7

Factor this out please help​

Mathematics
2 answers:
d1i1m1o1n [39]3 years ago
6 0

Answer:

5x^2y^2(y+3x)

Step-by-step explanation:

5x^2y^3+15x^3y^2

First, find the greatest common factor (GCF) of the 2 terms.

What is the greatest number that divides evenly into both terms? 5

What is the highest power of x that is present in both terms? x^{2}

What is the highest power of y that is present in both terms? y^2

Multiply these together:

5x^2y^2

Now factor the GCF out of the expression:

5x^2y^3+15x^3y^2

5x^2y^2(\frac{5x^2y^3}{5x^2y^2} +\frac{15x^3y^2}{5x^2y^2} )

5x^2y^2(y+3x)

jeyben [28]3 years ago
3 0

Answer:

\large\boxed{5x^2y^3+15x^3y^2=5x^2y^2(y+3x)}

Step-by-step explanation:

5x^2y^3=\boxed{5}\boxed{x}\boxed{x}\boxed{y}\boxed{y}y=\boxed{5x^2y^2}y\\\\15x^3y^2=3\cdot\boxed5\boxed{x}\boxed{x}x\boxed{y}\boxed{y}=\boxed{5x^2y^2}3x\\\\5x^3y^2+15x^3y^2=\boxed{5x^2y^2}(y+3x)

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