Factor the following expressions.

Question

Factor the following expressions.

a). 4x³y²-8xy²+32x³y³

b). -2m²n-34mn-144n

c). 9x²-25y²

Answer 1

(a) 4x³y² - 8xy² + 32x³y³ = (4xy²) (x² - 2 + 8x²y)

(b) -2m²n-34mn-144n

= -2(m²n +17mn +72n)

= -2(m²n + 8mn +9mn +72n)

= -2{mn(m+8) +9n(m+8)}

= -2{(m+8)(mn+9n)}

= (-2n)(m+8)(m+9)

(c) 9x²-25y²

= (3x)² - (5y)²

= (3x+5y)(3x-5y) this problem is of the form a² - b² = (a+b)(a-b)