Question

Factorize: 3(x+2)^2 + 17(x+2) +10 .answer is correct means i will mark you brainlist

Answer 1

Answer:

3(x^2+2x+4)+17(x+2)+10

3x^2+6x+12+17x+34+10

3x^2+23x+56

Answer 2

Hope this helps you ;)

$3 {(x + 2)}^{2} + 17(x + 2) + 10$

$let \: (x + 2) = a$

$3 {a}^{2} + 17a + 10$

$= 3 {a}^{2} + 15a + 2a + 10$

$= 3a(a + 5) + 2(a + 5)$

$= (a + 5)(3a + 2)$

$on \: resbstituting \: a = (x + 2)$

$= (x + 2 + 5)(3x + 3 \times 2 + 2)$

$= ( x + 7)(3x + 8)$