What is factor 4p^4+9p^3q^2-18p^2q^2 ?

The solution to factor 4p^4+9p^3q^2-18p^2q^2 is p^2(4p^2+9pq^2-18q^2)

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factor 4p^4+9p^3q^2-18p^2q^2

factor

4 p^{4} + 9 p^{3} q^{2} - 18 p^{2} q^{2}

p^{2} (4 p^{2} + 9 p q^{2} - 18 q^{2})

Solution steps

4 p^{4} + 9 p^{3} q^{2} - 18 p^{2} q^{2}

Apply exponent rule:

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

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

= 4 p^{2} p^{2} + 9 p^{2} p - 18 p^{2} q^{2}

Factor out common term

p^{2}

= p^{2} (4 p^{2} + 9 p q^{2} - 18 q^{2})

36 a^{2} - 25 b^{2}

2 x + 5 + 2 x + 3 x = 2 x + 8

\frac{2}{i}

2 (x - 4) = 13 - 7 (2 x + 1)

3 x^{2} - 8 x - 3

What is factor 4p^4+9p^3q^2-18p^2q^2 ?
The solution to factor 4p^4+9p^3q^2-18p^2q^2 is p^2(4p^2+9pq^2-18q^2)