How do you factor $24a^2 - 150b^2$ ?

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Answer 1 · 2015-11-15T06:13:32

$24a^2-150b^2=6(2a+5b)(2a-5b)$

$24a^2-150b^2$

Factor out the GCF $6$ .

$6(4a^2-25b^2)$

$(4a^2-25b^2)$ fits the difference of squares, $a^2-b^2=(a+b)(a-b)$ , where $a=2a and b=5b$ .

$6((2a)^2-(5b)^2)=6(2a+5b)(2a-5b)$

How do you factor 24a^2 - 150b^224a^2 - 150b^2?