What is factor 35x^3y^2-14x^2y^3 ?

The solution to factor 35x^3y^2-14x^2y^3 is 7x^2y^2(5x-2y)

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factor 35x^3y^2-14x^2y^3

factor

35 x^{3} y^{2} - 14 x^{2} y^{3}

7 x^{2} y^{2} (5 x - 2 y)

Solution steps

35 x^{3} y^{2} - 14 x^{2} y^{3}

Apply exponent rule:

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

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

= 35 x^{2} x y^{2} - 14 x^{2} y^{2} y

Rewrite

- 14

2 \cdot 7

Rewrite

35

5 \cdot 7

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

Factor out common term

7 x^{2} y^{2}

= 7 x^{2} y^{2} (5 x - 2 y)

x x^{2} - x + 3

- 7 x - 2

2 + (3 + 4 j)

(\frac{1}{2 x ^{- 2} y})^{- 3}

15 c^{3} d + 6 c^{3} d^{3}

What is factor 35x^3y^2-14x^2y^3 ?
The solution to factor 35x^3y^2-14x^2y^3 is 7x^2y^2(5x-2y)