Question

geometry concepts/connect a-27.0821010-812-king, tyrone
ga-3: mathxl king_walley
simplify the product using the distributive property.
(x - 5)(x + 7)
(x - 5)(x + 7) = □

Explanation:

Step1: Apply distributive property

$(x - 5)(x + 7)=x(x + 7)-5(x + 7)$

Step2: Distribute again

$x(x + 7)-5(x + 7)=x\times x+x\times7-5\times x - 5\times7$

Step3: Simplify terms

$x^{2}+7x-5x - 35$

Step4: Combine like - terms

$x^{2}+(7x-5x)-35=x^{2}+2x - 35$

Answer:

$x^{2}+2x - 35$