What is factor 70x^5y^3-42x^8y^2 ?

The solution to factor 70x^5y^3-42x^8y^2 is 14x^5y^2(5y-3x^3)

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factor 70x^5y^3-42x^8y^2

factor

70 x^{5} y^{3} - 42 x^{8} y^{2}

14 x^{5} y^{2} (5 y - 3 x^{3})

Solution steps

70 x^{5} y^{3} - 42 x^{8} y^{2}

Apply exponent rule:

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

x^{5} y^{3} = x^{5} y^{2} y, x^{8} y^{2} = x^{5} x^{3} y^{2}

= 70 x^{5} y^{2} y - 42 x^{5} x^{3} y^{2}

Rewrite

- 42

3 \cdot 14

Rewrite

70

5 \cdot 14

= 5 \cdot 14 x^{5} y^{2} y + 3 \cdot 14 x^{5} x^{3} y^{2}

Factor out common term

14 x^{5} y^{2}

= 14 x^{5} y^{2} (5 y - 3 x^{3})

32 \cdot 26

- 16 x^{2} + 16 x + 5

(x + 8 y) + (- 7 x - 4 y)

12.8

(8 z)^{2}

What is factor 70x^5y^3-42x^8y^2 ?
The solution to factor 70x^5y^3-42x^8y^2 is 14x^5y^2(5y-3x^3)