Find the Values of A, B, and C for Which $$( 4 a + 7 b ) ( 7 a + 4 b )$$

Multiple Choice

Find the values of a, b, and c for which the quadratic equation ax2 + bx + c = 0 has the given numbers as solutions. Then
use those values to write a quadratic equation.
- $$( 4 a + 7 b ) ( 7 a + 4 b )$$

A) $28 a ^ { 2 } - 33 a b + 28 b ^ { 2 }$
B) $28 a ^ { 2 } - 65 a b + 28 b ^ { 2 }$
C) $28 a ^ { 2 } + 28 b ^ { 2 }$
D) $28 a ^ { 2 } + 65 a b + 28 b ^ { 2 }$