Factorize (a+b)^2 -11(a+b)-42
Answers
Answered by
4
Answer:
Step-by-step explanation:
Let a + b = x
x² - 11 x - 42
x² + 3x - 14 x - 42
x ( x + 3 ) -14 ( x + 3 )
(x - 14 ) ( x + 3)
x = 14 x = -3
a + b = 14 or -3
shadowsabers03:
Whoa! The same method I tend to do! Good job!!!
Thank u!
But this didn’t factorise the equation. Can you help by factorising it too
Hey, it's factorized and is given. See the answer carefully.
Answered by
8
(a+b)(a+b)-11(a+b)-42
if x=a+b,then
=x^2-11x-42
=x^2-14x+3x-42
=x(x-14)+3(x-14)
=(x+3)(x-14)
x=-3(or)x=14
a+b=-3
a+b=14
if x=a+b,then
=x^2-11x-42
=x^2-14x+3x-42
=x(x-14)+3(x-14)
=(x+3)(x-14)
x=-3(or)x=14
a+b=-3
a+b=14
Similar questions