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multiply (2x²-5x+4)by x²+7x-8 ?
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Answer:
Hey!!!
2x⁴+9x³–47x²+68x–32
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Answer:
2x^4 + 9x^3 - 47x^2 + 68x - 32
Step-by-step explanation:
(2x^2 - 5x + 4) x (x^2 + 7x - 8)
Distribute -
2 ( ^2 + 7 − 8 ) * x^2 - 5x(x^2 + 7x - 8) + 4(x^2+7x-8)
Then multiply them -
2x^4 + 14x^3 - 16x^2 - 5x^3 - 35x^2 + 40x + 4x^2 + 28x - 32
Now, we have to combine all the like terms.
(1) 2x^4 + 14x^3 - 16x^2 - 5x^3 - 35x^2 + 40x + 4x^2 + 28x - 32
= 2x^4 + 9x^3 - 16x^2 - 35x^2 + 40x + 4x^2 + 28x - 32
(2) 2x^4 + 9x^3 - 16x^2 - 35x^2 + 40x + 4x^2 + 28x - 32
= 2x^4 + 9x^3 - 47x^2 + 40x + 28x - 32
(3) 2x^4 + 9x^3 - 47x^2 + 40x + 28x - 32
= 2x^4 + 9x^3 - 47x^2 + 68x - 32
Therefore, the solution is 2x^4 + 9x^3 - 47x^2 + 68x - 32
Hope it helps!
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