QuestionAugust 24, 2025

Expand and simplify using the perfect square expansion rule (a+b)^2=a^2+2ab+b^2 (3x-8)^2 9x^2-24x+64 9x^2+48x+8 9x^2-48x+64 9x^2+64 9x^2-64

Expand and simplify using the perfect square expansion rule (a+b)^2=a^2+2ab+b^2 (3x-8)^2 9x^2-24x+64 9x^2+48x+8 9x^2-48x+64 9x^2+64 9x^2-64
Expand and simplify using the perfect square expansion rule (a+b)^2=a^2+2ab+b^2 (3x-8)^2 9x^2-24x+64 9x^2+48x+8 9x^2-48x+64 9x^2+64 9x^2-64

Solution
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Answer

9x^2 - 48x + 64 Explanation 1. Apply the Perfect Square Expansion Rule Use (a+b)^2 = a^2 + 2ab + b^2 with a = 3x and b = -8. 2. Calculate Each Term a^2 = (3x)^2 = 9x^2, 2ab = 2(3x)(-8) = -48x, b^2 = (-8)^2 = 64. 3. Combine the Terms Combine to get 9x^2 - 48x + 64.

Explanation

1. Apply the Perfect Square Expansion Rule<br /> Use $(a+b)^2 = a^2 + 2ab + b^2$ with $a = 3x$ and $b = -8$.<br /><br />2. Calculate Each Term<br /> $a^2 = (3x)^2 = 9x^2$, $2ab = 2(3x)(-8) = -48x$, $b^2 = (-8)^2 = 64$.<br /><br />3. Combine the Terms<br /> Combine to get $9x^2 - 48x + 64$.
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