Question

(a+b)² - 11(a+b) -42
pls show the work​

Answer 1

(a+b+3)(a+b-14)

Explanation:

let a+b be x,

= x²-11x-42

=x²-(14-3)x-42

=x²-14x+3x-42

=x(x-14)+3(x-14)

=(x+3)(x-14))

replacing x by a+b,

=(a+b+3)(a+b-14)

Answer 2

(a+b)² - 11(a+b) -42

Explanation:

Thoughtfully split the expression at hand into groups, each group having two terms,

Group 1: -11b-11a

Group 2: a2+2ab

Group 3: b2-42

Pull out from each group separately :

Group 1: (a+b) (-11)

Group 2: (a+2b) (a)

Group 3: (b2-42) (1)

Looking for common sub-expressions :

Group 1: (a+b) (-11)

Group 3: (b2-42) (1)

Group 2: (a+2b) (a)

final answer:(a+b)² - 11(a+b) -42