Question

find the following products using appropriate identities (x+5) (x-6)​

Answer 1

Answer: 6

Step-by-step explanation:(×+5)(×-6)

××-6×+5×-30

×(×-6)+5 (×-6)

(×+5)(×-6)

×=-5 or ×=6

×=-5 (neglect)

Hence, ×=6Ans

Answer 2

Answer:

$(x + 5)(x -6) = x^2 - x - 30$

Step-by-step explanation:

Identity which is used is

$(x + a)(x + b) = x^2 + (a +b)x + ab$

$(x + 5)(x -6)\\= x(x - 6) + 5(x - 6)\\= x^2 - 6x + 5x - 5(6)\\= x^2 - (6 -5)x - 30\\= x^2 - x - 30$

So, $(x + 5)(x -6) = x^2 - x - 30$