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Multiply: 2m^{2} − 3m − 1 and 4m^{2} − m − 1
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Solution
(2m^{2} − 3m − 1) (4m^{2} − m − 1)
= 2m^{2}(4m^{2} − m − 1) − 3m(4m^{2} − m − 1) −1(4m^{2} − m −1)
= 8m^{4} − 2m^{3}− 2m^{2} − 12m^{3} + 3m^{2} + 3m − 4m^{2 }+ m + 1
= 8m^{4} − 14m^{3} − 6m^{2} + 3m^{2} + 4m + 1
= 8m^{4} − 14m^{3} − 3m^{2} + 4m + 1
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