What is factor-8p^3q^7-4p^2q^3 ?

The solution to factor-8p^3q^7-4p^2q^3 is -4p^2q^3(2pq^4+1)

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factor-8p^3q^7-4p^2q^3

factor

- 8 p^{3} q^{7} - 4 p^{2} q^{3}

- 4 p^{2} q^{3} (2 p q^{4} + 1)

Solution steps

- 8 p^{3} q^{7} - 4 p^{2} q^{3}

Apply exponent rule:

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

p^{3} q^{7} = p^{2} p q^{3} q^{4}

= - 8 p^{2} p q^{3} q^{4} - 4 p^{2} q^{3}

Rewrite

- 8

2 \cdot 4

= 2 \cdot 4 p^{2} p q^{3} q^{4} - 4 p^{2} q^{3}

Factor out common term

- 4 p^{2} q^{3}

= - 4 p^{2} q^{3} (2 p q^{4} + 1)

i 82 + i^{45}

cos (x) + cos^{2} (x) + sin^{2} (x)

3 \cdot lo g_{a} (2) + 2 \cdot lo g_{a} (3)

(- 2 x + 7)^{2} - (3 x - 6) + 4 x

\frac{( x ^{- 3} )}{( x ^{3} )}

What is factor-8p^3q^7-4p^2q^3 ?
The solution to factor-8p^3q^7-4p^2q^3 is -4p^2q^3(2pq^4+1)