Question

1. find the product

$(x - 3)(x - 7)$

Explanation:

Step1: Apply FOIL method

Multiply First terms: $x \times x = x^2$
Multiply Outer terms: $x \times (-7) = -7x$
Multiply Inner terms: $(-3) \times x = -3x$
Multiply Last terms: $(-3) \times (-7) = 21$
Combine these: $x^2 -7x -3x +21$

Step2: Combine like terms

Combine the linear terms: $-7x -3x = -10x$
Simplify the expression: $x^2 -10x +21$

Answer:

$x^2 -10x +21$