multiply (-x-2)by
(-x2 + 4x – 2)
(-x-2)(-x^2+4x-2)
-(x+2)(-x^2+4x-2)
(x+2)(x^2-4x+2)
x^5-4x^2+2x
2x^2-8x+4
x^5-2x^2-6x-4
x(cube)-2x-6x+4
Correct, except the answer should read:
x(cube)-2x^2-6x+4
In fact, another way to do this is to use the distributive property:
(-x-2)(-x^2+4x-2)
=-x(-x^2+4x-2) -2(-x^2+4x-2)
=x^3-4x^2+2x +2x^2-8x+4
=x^3-2x^2-6x+4
To multiply (-x-2) by (-x^2 + 4x - 2), you need to use the distributive property of multiplication to multiply each term in the first expression with each term in the second expression. Here's how you can do it step by step:
1. Write down the two expressions:
(-x-2) * (-x^2 + 4x - 2)
2. Multiply the first term in the first expression (-x) with each term in the second expression:
(-x) * (-x^2 + 4x - 2) = x^3 - 4x^2 + 2x
3. Multiply the second term in the first expression (-2) with each term in the second expression:
(-2) * (-x^2 + 4x - 2) = 2x^2 - 8x + 4
4. Combine the results from steps 2 and 3 to get the final answer:
x^3 - 4x^2 + 2x + 2x^2 - 8x + 4
5. Simplify the expression by combining like terms:
x^3 - 2x^2 - 6x + 4
Therefore, (-x-2) multiplied by (-x^2 + 4x - 2) is equal to x^3 - 2x^2 - 6x + 4.