What is factor 14a^4b^2-21a^3b^2 ?

The solution to factor 14a^4b^2-21a^3b^2 is 7a^3b^2(2a-3)

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factor 14a^4b^2-21a^3b^2

factor

14 a^{4} b^{2} - 21 a^{3} b^{2}

7 a^{3} b^{2} (2 a - 3)

Solution steps

14 a^{4} b^{2} - 21 a^{3} b^{2}

Apply exponent rule:

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

a^{4} b^{2} = a^{3} a b^{2}

= 14 a^{3} a b^{2} - 21 a^{3} b^{2}

Rewrite

- 21

3 \cdot 7

Rewrite

14

2 \cdot 7

= 2 \cdot 7 a^{3} a b^{2} + 3 \cdot 7 a^{3} b^{2}

Factor out common term

7 a^{3} b^{2}

= 7 a^{3} b^{2} (2 a - 3)

\frac{b}{30} + \geq 5

r^{2} + 85 rs + 84 s^{2}

\frac{2 x - 4}{5} = 4

2 + \frac{1}{6} a = - 4

lo g_{e} (2)

What is factor 14a^4b^2-21a^3b^2 ?
The solution to factor 14a^4b^2-21a^3b^2 is 7a^3b^2(2a-3)