What is factor 3a^7b^3-21a^4b^3 ?

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

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factor 3a^7b^3-21a^4b^3

factor

3 a^{7} b^{3} - 21 a^{4} b^{3}

3 a^{4} b^{3} (a^{3} - 7)

Solution steps

3 a^{7} b^{3} - 21 a^{4} b^{3}

Apply exponent rule:

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

a^{7} b^{3} = a^{4} a^{3} b^{3}

= 3 a^{4} a^{3} b^{3} - 21 a^{4} b^{3}

Rewrite

- 21

7 \cdot 3

= 3 a^{4} a^{3} b^{3} + 7 \cdot 3 a^{4} b^{3}

Factor out common term

3 a^{4} b^{3}

= 3 a^{4} b^{3} (a^{3} - 7)

4 x - 7 + y - 7 x - (- 3 y)

(6 x - 7 y)^{2}

64 x^{8} - (4 y - 3 z)^{2}

8 7^{2}

\frac{3}{8} \times \frac{8}{3}

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