What is the product? 2x+8 x2 + 3x-4 x(x-4)(x-1) 20x+4) 2 (x+4)(x-4) 2x(x-1) 2x(x+4)​

Answers

Answer 1
Answer:

The products of the given expressions are:

(2x + 8) * (x^2 + 3x - 4) = 2x^3 + 14x^2 + 16x - 32\n(x - 4)(x - 1)(20x + 4) = 20x^3 - 96x^2 + 60x + 16\n2(x + 4)(x - 4) = 2x^2 - 32\n2x(x - 1) = 2x^2 - 2x\n2x(x + 4) = 2x^2 + 8x

Here, we have to find the product of the expressions given,

let's multiply them step by step:

(2x + 8) * (x^2 + 3x - 4):

First, apply the distributive property:

(2x + 8) * x^2 = 2x^3 + 8x^2\n(2x + 8) * 3x = 6x^2 + 24x\n(2x + 8) * (-4) = -8x - 32

Now, add the results:

Product of (2x + 8) and (x^2 + 3x - 4) = 2x^3 + 8x^2 + 6x^2 + 24x - 8x - 32

Combine like terms:

Product = 2x^3 + (8x^2 + 6x^2) + (24x - 8x) - 32

Product = 2x^3 + 14x^2 + 16x - 32

(x - 4)(x - 1)(20x + 4):

First, apply the distributive property:

(x - 4)(x - 1) = x^2 - x - 4x + 4 = x^2 - 5x + 4

Now, multiply the result with (20x + 4):

(x^2 - 5x + 4)(20x + 4) = 20x^3 + 4x^2 - 100x^2 - 20x + 80x + 16

Combine like terms:

Product = 20x^3 + (4x^2 - 100x^2) + (-20x + 80x) + 16

Product = 20x^3 - 96x^2 + 60x + 16

2(x + 4)(x - 4):

First, apply the distributive property:

2(x + 4) = 2x + 8

Now, multiply the result with (x - 4):

(2x + 8)(x - 4) = 2x^2 + 8x - 8x - 32

Combine like terms:

Product = 2x^2 + (8x - 8x) - 32

Product = 2x^2 - 32

2x(x - 1):

Apply the distributive property:

2x * x = 2x^2

2x * (-1) = -2x

Combine the terms:

Product = 2x^2 - 2x

2x(x + 4):

Apply the distributive property:

2x * x = 2x^2

2x * 4 = 8x

Combine the terms:

Product =2x^2 + 8x

So, the products of the given expressions are:

(2x + 8) * (x^2 + 3x - 4) = 2x^3 + 14x^2 + 16x - 32\n(x - 4)(x - 1)(20x + 4) = 20x^3 - 96x^2 + 60x + 16\n2(x + 4)(x - 4) = 2x^2 - 32\n2x(x - 1) = 2x^2 - 2x\n2x(x + 4) = 2x^2 + 8x

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Answer 2
Answer:

=−640x10+1280x9+19904x8−40728x7−144488x6+323904x5−162304x4+1024x3+2048x2

step by step

(2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x(x+4)

=((2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x)(x+4)

=((2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x)(x)+((2x+8x2+3x−4x(x−4)(x−1)(20)x+4)(2)(x+4)(x−4)(2)x(x−1)(2)x)(4)

=−640x10+3840x9+4544x8−58904x7+91128x6−40608x5+128x4+512x3−2560x9+15360x8+18176x7−235616x6+364512x5−162432x4+512x3+2048x2

=−640x10+1280x9+19904x8−40728x7−144488x6+323904x5−162304x4+1024x3+2048x2


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Answers

Answer:

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Answers

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Answers

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Answers

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