Factor the expression h^2+3h+-1

 Exercise

$h^2+3h-1$

 

Add and subtract $\displaystyle\left(\frac{b}{2a}\right)^2$

$h^2+3h-1+\left(\frac{3}{2}\right)^2- \left(\frac{3}{2}\right)^2$

 

Calculate the power $\left(\frac{3}{2}\right)^2$

$h^2+3h-1+\frac{9}{4}- \frac{9}{4}$

 

Multiply the fraction and term in $- \frac{9}{4}$

$h^2+3h-1+\frac{9}{4}-\frac{9}{4}$

 

Simplify the addition $\left(h+\frac{3}{2}\right)^2-1-\frac{9}{4}$

$\left(h+\frac{3}{2}\right)^2+\frac{-9-4}{4}$

 

Subtract the values $-9$ and $-4$

$\left(h+\frac{3}{2}\right)^2-\frac{13}{4}$

$\left(h+\frac{3}{2}\right)^2-\frac{13}{4}$

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