Alex S.
asked • 09/30/20Use the Binomial Theorem to expand and simplify the expression.
2(x − 3)4 + 5(x − 3)2
Janelle S. answered • 09/30/20
Penn State Grad for ME, Math & Test Prep Tutoring (10+ yrs experience)
2(x − 3)4 + 5(x − 3)2
= 2[x4 + 4x3(-3) + 6x2(-3)2 + 4x(-3)3 + (-3)4] + 5[x2 + 2x(-3) + (-3)2]
= 2[x4 - 12x3 + 54x2 - 108x + 81] + 5[x2 - 6x + 9]
= 2x4 - 24x3 + 108x2 - 216x + 162 + 5x2 - 30x + 45
= 2x4 - 24x3 + 113x2 - 246x + 207
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