QuestionAugust 24, 2025

Multiply. (4a-6g)(4a+5g) (4a-6g)(4a+5g)= square (Simplify your answer. Do not factor.)

Multiply. (4a-6g)(4a+5g) (4a-6g)(4a+5g)= square (Simplify your answer. Do not factor.)
Multiply.
(4a-6g)(4a+5g)
(4a-6g)(4a+5g)= square 
(Simplify your answer. Do not factor.)

Solution
4.5(276 votes)

Answer

16a^2 - 36g^2 Explanation 1. Apply the distributive property Use the formula (x-y)(x+y) = x^2 - y^2. 2. Calculate x^2 x = 4a, so x^2 = (4a)^2 = 16a^2. 3. Calculate y^2 y = 6g, so y^2 = (6g)^2 = 36g^2. 4. Subtract y^2 from x^2 16a^2 - 36g^2.

Explanation

1. Apply the distributive property<br /> Use the formula $(x-y)(x+y) = x^2 - y^2$.<br />2. Calculate $x^2$<br /> $x = 4a$, so $x^2 = (4a)^2 = 16a^2$.<br />3. Calculate $y^2$<br /> $y = 6g$, so $y^2 = (6g)^2 = 36g^2$.<br />4. Subtract $y^2$ from $x^2$<br /> $16a^2 - 36g^2$.
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