Question

Which is equivalent to the expression?

x^2 + 6x + 4

A. ( x + 3 ) ^2 + 5
B. ( x + 3 ) ^2 - 5
C. ( x - 3 ) ^2 + 5
D. ( x - 3 ) ^2 - 5

Answer 1

B. ( x + 3 ) ^2 - 5

Explanation:

( x + 3 ) ^2 = ( x + 3 ) *( x + 3 )

( x + 3 ) ^2 = ( x^2 + 6 x + 9 )

(x^2 + 6 x + 9) is 5 higher than x^2 + 6x + 4, so subtract 5

(x^2 + 6 x + 9) - 5

( x + 3 ) ^2 - 5