Math  /  Algebra

QuestionAssignment: Show complete solution 1 Perform the following multiplications and simplify your results: (a) (8x4)(4x23x+2)(8 x-4)\left(4 x^{2}-3 x+2\right) (b) (2x+3)(5x3+3x4)(2 x+3)\left(5 x^{3}+3 x-4\right)

Studdy Solution
Combine like terms.
10x4+15x3+6x2+(8x+9x)12=10x4+15x3+6x2+x1210x^4 + 15x^3 + 6x^2 + (-8x + 9x) - 12 = 10x^4 + 15x^3 + 6x^2 + x - 12
(2x+3)(5x3+3x4)=10x4+15x3+6x2+x12(2x + 3)(5x^3 + 3x - 4) = 10x^4 + 15x^3 + 6x^2 + x - 12
Solution to (a): (8x4)(4x23x+2)=32x340x2+28x8(8x - 4)(4x^2 - 3x + 2) = 32x^3 - 40x^2 + 28x - 8
Solution to (b): (2x+3)(5x3+3x4)=10x4+15x3+6x2+x12(2x + 3)(5x^3 + 3x - 4) = 10x^4 + 15x^3 + 6x^2 + x - 12

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