What is factor-30p^4+39p^2q^3+39p^2q^2 ?

The solution to factor-30p^4+39p^2q^3+39p^2q^2 is 3p^2(-10p^2+13q^3+13q^2)

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factor-30p^4+39p^2q^3+39p^2q^2

factor

- 30 p^{4} + 39 p^{2} q^{3} + 39 p^{2} q^{2}

3 p^{2} (- 10 p^{2} + 13 q^{3} + 13 q^{2})

Solution steps

- 30 p^{4} + 39 p^{2} q^{3} + 39 p^{2} q^{2}

Apply exponent rule:

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

p^{4} = p^{2} p^{2}

= - 30 p^{2} p^{2} + 39 p^{2} q^{3} + 39 p^{2} q^{2}

Rewrite

39

13 \cdot 3

Rewrite

39

13 \cdot 3

= 10 \cdot 3 p^{2} p^{2} + 13 \cdot 3 p^{2} q^{3} + 13 \cdot 3 p^{2} q^{2}

Factor out common term

3 p^{2}

= 3 p^{2} (- 10 p^{2} + 13 q^{3} + 13 q^{2})

2 x + 24 + x - 30 = x + 13 + x - 15

5 - 10 x - 3 x^{2} = 0

4 \cdot 4^{2}

- 2 + (- 3)

4 x - 7 < 2 x

What is factor-30p^4+39p^2q^3+39p^2q^2 ?
The solution to factor-30p^4+39p^2q^3+39p^2q^2 is 3p^2(-10p^2+13q^3+13q^2)