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Natali5045456 [20]
3 years ago
6

12d^3+12d^2-8d-8 Factor by Grouping, show work please

Mathematics
1 answer:
nikdorinn [45]3 years ago
7 0
I see that 12 shows up in 2 terms and 8 shows up in a different 2 terms.  This is a pretty good bet for factoring by grouping.

12d^3+12d^2-8d-8 = <span>12(d^2)(d+1) - 8(d+1)

d+1 is common to both terms of this expression?  Also note that 12 = 3*4 and 8 = 2*4, so 4 is another factor common to both terms.

Thus we have (4)(d+1) [ 3d^2 - 2] </span>
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