Question

1. simplify using an area model: $(x + 4)(x - 6)$

Explanation:

Step1: Divide into area model parts

Split each binomial: $(x+4) = x + 4$, $(x-6) = x + (-6)$

Step2: Calculate 4 area products

1. $x \times x = x^2$
2. $x \times (-6) = -6x$
3. $4 \times x = 4x$
4. $4 \times (-6) = -24$

Step3: Sum all area terms

$x^2 - 6x + 4x - 24$

Step4: Combine like terms

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

Answer:

$x^2 - 2x - 24$