Solve 3p^2-8p+1+9p^2+4p-1

$$3 { p }^{ 2 } -8p+1+9 { p }^{ 2 } +4p-1$$

Evaluate

$$4p\left(3p-1\right)$$

Solution Steps

Combine 3p^{2} and 9p^{2} to get 12p^{2}.

$$12p^{2}-8p+1+4p-1$$

Combine -8p and 4p to get -4p.

$$12p^{2}-4p+1-1$$

Subtract 1 from 1 to get 0.

$$12p^{2}-4p$$

Factor

$$4p\left(3p-1\right)$$

Solution Steps

Multiply and combine like terms.

$$12p^{2}-4p$$

Factor out 4.

$$4\left(3p^{2}-p\right)$$

Consider 3p^{2}-p. Factor out p.

$$p\left(3p-1\right)$$

Rewrite the complete factored expression.

$$4p\left(3p-1\right)$$