What is factor 20x^3y^7+28x^4y^3+32x^4y^2 ?

The solution to factor 20x^3y^7+28x^4y^3+32x^4y^2 is 4x^3y^2(5y^5+7xy+8x)

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factor 20x^3y^7+28x^4y^3+32x^4y^2

factor

20 x^{3} y^{7} + 28 x^{4} y^{3} + 32 x^{4} y^{2}

4 x^{3} y^{2} (5 y^{5} + 7 x y + 8 x)

Solution steps

20 x^{3} y^{7} + 28 x^{4} y^{3} + 32 x^{4} y^{2}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

x^{3} y^{7} = x^{3} y^{2} y^{5}, x^{4} y^{3} = x^{3} x y^{2} y, x^{4} y^{2} = x^{3} x y^{2}

= 20 x^{3} y^{2} y^{5} + 28 x^{3} x y^{2} y + 32 x^{3} x y^{2}

Rewrite

32

8 \cdot 4

Rewrite

28

7 \cdot 4

= 5 \cdot 4 x^{3} y^{2} y^{5} + 7 \cdot 4 x^{3} x y^{2} y + 8 \cdot 4 x^{3} x y^{2}

Factor out common term

4 x^{3} y^{2}

= 4 x^{3} y^{2} (5 y^{5} + 7 x y + 8 x)

8 - 9

(\frac{1}{a})^{3}

∣ 3 - 8 ∣

\frac{g - 13}{4} = 9

What is factor 20x^3y^7+28x^4y^3+32x^4y^2 ?
The solution to factor 20x^3y^7+28x^4y^3+32x^4y^2 is 4x^3y^2(5y^5+7xy+8x)