What is factor 25x^4y^3-15x^2 ?

The solution to factor 25x^4y^3-15x^2 is 5x^2(5x^2y^3-3)

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factor 25x^4y^3-15x^2

factor

25 x^{4} y^{3} - 15 x^{2}

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

Solution steps

25 x^{4} y^{3} - 15 x^{2}

Apply exponent rule:

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

x^{4} y^{3} = x^{2} x^{2}

= 25 x^{2} x^{2} - 15 x^{2}

Rewrite

- 15

3 \cdot 5

Rewrite

25

5 \cdot 5

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

Factor out common term

5 x^{2}

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

4 c^{2} - 9

(7 x - y) - (7 x + 9 y)

(\frac{a ^{2} b}{a b ^{3}})^{2}

(5 x - 6) (x + 2)

- \frac{1}{2} 3

What is factor 25x^4y^3-15x^2 ?
The solution to factor 25x^4y^3-15x^2 is 5x^2(5x^2y^3-3)