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Completely factor 16π squared π squared minus 49.
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This would be considered a difference of squares.
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And we know that for a difference of squares, π squared minus π squared, it factors to be π plus π times π minus π.
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So for our expression, so for our expression we need to make sure we have the subtraction sign because itβs a difference of squares.
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And since we have the subtraction sign, now we can move on to finding π and π.
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So in order to get from π squared in the expression to π in a factorized form, we would need to square root π squared to get π and square root π squared to get π.
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So we need to do that for our expression.
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So if we would take the square root of 16π squared π squared, the square root of 16 is four, the square root of π squared is π, and the square root of π squared is π.
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So here would be π.
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And for π, the square root of 49 is seven.
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So seven is π.
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So now all we need to do is to plug in four ππ for π in a factorized form and seven in for π into the factorized form.
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So we would have 16π squared π squared minus 49 would be equal to four ππ plus seven times four ππ minus seven.
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It wonβt matter if we would put the four ππ minus seven first instead of the four ππ plus seven as long as we have the plus and the minus in our final answer.
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So once again, our final answer after factoring would be four ππ plus seven four ππ minus seven multiplied together.