Question Video: Factorizing by Taking Out the Greatest Common Factor | Nagwa Question Video: Factorizing by Taking Out the Greatest Common Factor | Nagwa

Question Video: Factorizing by Taking Out the Greatest Common Factor Mathematics • First Year of Preparatory School

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Factor fully (π β 10)(π + 8) β 2(π + 8).

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Video Transcript

Factor fully π minus 10 times π plus eight minus two times π plus eight.

Given the expression π minus 10 times π plus eight minus two times π plus eight, in order to factor this, we need a common factor between the two terms. Here are the two terms. The first term has a factor of π minus 10 and a factor of π plus eight. And the second term has the factors negative two and π plus eight, which means both terms share a factor of π plus eight. And that means we can undistribute the factor of π plus eight. In our first term, if we take out the factor π plus eight, the factor remaining will be π minus 10.

In our second term, if we remove π plus eight, weβll be left with negative two. Weβve now rewritten our original expression as π plus eight times π minus 10 minus two. And within these brackets, we can do some simplification. Since thereβs only addition or subtraction inside the brackets, we can remove the parentheses. So, we have π plus eight times π minus 10 minus two. And π minus 10 minus two equals π minus 12. A fully factorized form of the original expression would look like this. π plus eight times π minus 12.

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