Question

3. Given that x = 3 and y = 4, find the value of the following

expression (3x + 4y)^2 + (8x + 7y)² + 24xy

Answer 1

Answer: 3353

Let's solve this equation:

[(3)(3)+(4)(4)]2+[(8)(3)+(7)(4)]2+(2)(3)(4)

=(9+(4)(4))2+((8)(3)+(7)(4))2+(2)(3)(4)

=(9+16)2+((8)(3)+(7)(4))2+(2)(3)(4)

=252+((8)(3)+(7)(4))2+(2)(3)(4)

=625+((8)(3)+(7)(4))2+(2)(3)(4)

=625+(24+(7)(4))2+(2)(3)(4)

=625+(24+28)2+(2)(3)(4)

=625+522+(2)(3)(4)

=625+2704+(2)(3)(4)

=3329+(2)(3)(4)

=3329+(6)(4)

=3329+24

=3353

Hope this helps!!