Question

Choose the correct identity from the identity box given below to be used to solve the following questions that follow:

a. 99²
b. 95 x 102
c. (4x+y)²
d. (m+3)(m+2)

identity 1:

(a+b)2 = a2+b2+2ab

identity 2:

(a-b)2 = a2+b2-2ab

identity 3:

a2-b2 = (a+b)(a-b)

identity 4:

(x+a)(x+b) = x2+(a+b)x+ab

Answer 1

Answer:

identity 1 : a2 + b2 + 2 (a+b)

Step-by-step explanation:

c .(4x+y)^2

= (4x)^2 + 1^2 +2 ( 4+1)

= 16×^2 + 1 + 2 (5)

= 16×^2 + 1 + 10

= 16^2 + 11 .

identity 4 : (x+a) + (x+b) = x2 + (a+b)x +ab

d. (m+2) (m+3)

= m^2 + (2+3)m + 2×3

= m^2 + 5m + 6

b. 95 x 102

= 9,690

a. 99^2

=9,801