Question

Find the squares of the following using suitable identities.

a. (2x - 5) ^2
b. (4x^2+3y^2)^2​

Answer 1

Hope this was helpful to you

Answer 2

Step-by-step explanation:

a. (a-b)^2= a^2-2ab+b^2

a=2x, b=5

(2x-5)^2=(2x)^2-2(2x)(5)+(5)^2

= 4x^2-20x+25

b. a^2+b^2= (a+b)^2-2ab

a=4x, b=3y

(4x^2+3y^2). = (4x+3y)^2-2(4x)(3y)

= (4x)^2+2(4x)(3y)+(3y)^2-24xy

= 16x^2+24xy+9y^2-24xy

= 16x^2+9y^2

(4x^2+3y^2)^2 = (16x^2+9y^2)(16x^2+9y^2)