Factor y=5x^2-30x-135

Question

asked Jul 11, 2024 90.0k views

1 Answer

Kaediil · Answer 1 · 2024-07-16T03:06:57+0000

Answer:

$\boxed{\sf y =5(x-9)(x+3)}$

Explanation:

$\sf \textsf{Factor of y }=5x^2-30x-135.$

Solution:

$\sf y =5x^2-30x-135.$

Takin common 5

$\sf y=5(x^2-6x-27) \: ....... [i]$

Doing middle term factorization

$\sf (x^2-6x-27)$

$\sf x^2 -(9-3)x -27$

$\sf x^2 - 9x + 3x -27$

Taking common from each two terms

$\sf x(x-9) +3(x-9)$

taking common again and keeping remaining in another bracket

$\sf (x-9)(x+3)$

Substituting this in equation [i].

$\sf y=5(x-9)(x+3)$

$\sf \textsf{Therefore, Factor of y }=5(x-9)(x+3)$