simplify the product using the distributive property. (x - 4)(x + 6)

Explanation:

Step1: Apply distributive property

$(x - 4)(x + 6)=x(x + 6)-4(x + 6)$

Step2: Distribute again

$x(x + 6)-4(x + 6)=x\cdot x+x\cdot6-4\cdot x - 4\cdot6$

Step3: Simplify terms

$x\cdot x+x\cdot6-4\cdot x - 4\cdot6=x^{2}+6x-4x - 24$

Step4: Combine like - terms

$x^{2}+6x-4x - 24=x^{2}+(6x - 4x)-24=x^{2}+2x - 24$

Answer:

$x^{2}+2x - 24$