Question

12x² + 60x + 75 = ?​

Answer 1

$12 {x}^{2} + 60x + 75 \\ \\ 3(4 {x}^{2} + 20x + 25) \\ \\ 4 {x}^{2} + 20x + 25 \\ \\ 4 {x}^{2} + 10x + 10x + 25 \\ \\ 2x(2x + 5) + 5(2x + 5) \\ \\ (2x + 5)(2x + 5) \\ \\ (2x + 5) {}^{2}$

Answer 2

Answer:

Step-by-step explanation:

We have 12x^2+60x+75

Applying splitting middle term factorisation. We get

12x^2+30x+30x+75

=(12x^2+30) +(30x+75)

=6x(2x+5) +15(2x+5)

=(6x+15) (2x+5)

Now taking 6x+15=0

We get,

6x=-15

x=-15/6

Also 2x+5=0

2x=-5

So, x=-5/2

Therefore the values of x=-15/6, -5/2

We can also find value of x by using quadratic formula.