Question #3b142

1 Answer
Apr 30, 2017

Factorization is determined either by taking common factor
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or applying the polynomial properties :
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Common Factor:
color(green)(ab+ad=a(b+d)
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Polynomial Property:
color(blue)(a^3-b^3=(a-b)(a^2+ab+b^2))
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24t^3-3
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=3xx8xxt^3-3xx1
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=color(green)(3(8t^3-1))
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=3((2t)^3-1^3)
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=3color(blue)((2t-1)((2t)^2+(2t)(1)+1^2)
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=3(2t-1)(4t^2+2t+1)