Answer:
B = 2
Step-by-step explanation:
Factor the left side
2x² - 12xy - 32y² ← factor out 2 from each term
= 2(x² - 6xy - 16y²)
Consider the factors of the coefficient of the y² term (- 16) which sum to give the coefficient of the xy- term (- 6)
The factors are - 8 and + 2, since
- 8 × 2 = - 16 and - 8 + 2 = - 6, thus
x² - 6xy - 16y² = (x - 8y)(x + 2y)
and
2x² - 12xy - 32y² = 2(x - 8y)(x + 2y) ← in factored form
Compare the factored form to the right side
Thus B = 2
