How do you factor by grouping $20 x^{3} - 36 x^{2} + 35 x - 63$ $20x^3-36x^2+35x-63$ ?

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Answer 1 · 2015-04-09T19:24:45

$20 x^{3} - 36 x^{2} + 35 x - 63$ $20x^3-36x^2+35x-63$

can be grouped as
$(20 x^{3} + 35 x) - (36 x^{2} + 63)$ $(20x^3+35x) - (36x^2+63)$

Within each grouped term extract the common factors of the sub-terms
$(5 x) (4 x^{2} + 7) - 9 (4 x^{2} + 7)$ $(5x)(4x^2+7) - 9(4x^2+7)$

then, again extract the common factor
$(4 x^{2} + 7) (5 x - 9)$ $(4x^2+7)(5x-9)$

How do you factor by grouping 20x3−36x2+35x−6320x^3-36x^2+35x-63?