How do you factor the expression $45 x^{2} + 30 x + 5$ $45x^2 + 30x + 5$ ?

Question

1854 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-19T00:25:42

First, factor out 5 ...

$5 (9 x^{2} + 6 x + 1)$ $5(9x^2+6x+1)$

Next, use grouping ...

$5 [9 x^{2} + 3 x + 3 x + 1]$ $5[9x^2+3x+3x+1]$

$5 [3 x (3 x + 1) + (3 x + 1)]$ $5[3x(3x+1)+(3x+1)]$

$5 (3 x + 1) (3 x + 1)$ $5(3x+1)(3x+1)$

$5 {(3 x + 1)}^{2}$ $5(3x+1)^2$

hope that helped

How do you factor the expression 45x^2 + 30x + 545x2+30x+545x^2 + 30x + 5?