Find (8a+3b)2.8𝑎+3𝑏2. Multiple choice question.A)73a2b2+48ab 73𝑎2𝑏2+48𝑎𝑏 B)64a2+48ab+9b264𝑎2+48𝑎𝑏+9𝑏2 correctC)64a2+9b264𝑎2+9𝑏2 D)32a2+22ab+12b2

Question

$(8a+3b)^2$
$8𝑎+3𝑏^2$
Multiple choice question.
A) $73a^2b^2 + 48ab$
B) $64a^2 + 48ab + 9b^2$ correct
C) $64a^2 + 9b^2$
D) $32a^2 + 22ab + 12b^2$

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The correct answer is B) 64a2+48ab+9b2.

Here's the step-by-step solution:

The expression (8a+3b)2 is a perfect square and can be expanded using the formula (a+b)2 = a2 + 2ab + b2.

So, (8a+3b)2 = (8a)2 + 2*(8a)*(3b) + (3b)2 = 64a2 + 48ab + 9b2.

So, the correct answer is B) 64a2+48ab+9b2.

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