Question

Which number makes the eqaution true? v² + 10v + 16 = (v+8) (v + ?)A. 2B. 4C. 6D. 8

Answer 1

v² + 10v + 16 = (v+8) (v + ?)

Distributing:

v² + 10v + 16 = v(v) + v(?) + 8(v) + 8(?)

v² + 10v + 16 = v² + (?v + 8v) + 8(?)

We need that:

10v = ?v + 8v

and

16 = 8(?)

From the first equation:

10v = ?v + 8v

10v - 8v = ?v

2v = ?v

2 = ?

From the second equation:

16 = 8(?)

16/8 = ?

2 = ?