Question

simplify the following expression.

$(5a - 6)(3a - 4)$

$15a^2 + ?a + \square$

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(5a \times 3a = 15a^2\)
Multiply the Outer terms: \(5a \times (-4) = -20a\)
Multiply the Inner terms: \(-6 \times 3a = -18a\)
Multiply the Last terms: \(-6 \times (-4) = 24\)

Step2: Combine like terms for the middle term

Combine the outer and inner terms: \(-20a - 18a = -38a\)

Step3: Combine all terms

The expanded form is \(15a^2 - 38a + 24\)

Answer:

The coefficient of \(a\) is \(-38\) and the constant term is \(24\). So the expression is \(15a^2 + (-38)a + 24\)