If (3x+5)^2=ax^2+bx+c, what is the value of a+b+c?

Question

If
`(3x+5)^2=ax^2+bx+c`, what is the value of a+b+c?

Answer 1

64

Explanation:

(3x + 5)² = ax² + bx + c

9x² + 30x + 25 = ax² + bx + c

a = 9

b = 30

c = 25

a + b + c

9 + 30 + 25

64

Answer 2

64

Explanation:

(3x+5)^2 = ax^2 +bx+c

FOIL the left side

(3x+5) (3x+5)

9x^2 +15x+15x+25

Combine like terms

9x^2 +30x+25

a=9

b= 30

c= 25

a+b+c = 9+30+25 = 64