Multiply. show complete work
2x + 4 by -5x2 – 3x – 2
Use distributive rules to multiply 2x by -5x2 – 3x – 2 .
Then do the same to multiply 4 by -5x2 – 3x – 2
Then add up all the terms you got from both multiplications. Combine "like" terms with the same power of x.
This is basic algebra you need to learn to do by yourself. Try it
To multiply the expressions (2x + 4) and (-5x^2 – 3x – 2), we can use the distributive property of multiplication over addition. This means that we need to multiply each term in the first expression by each term in the second expression and then combine like terms.
Let's work through the steps:
First, distribute the first term of the first expression to every term of the second expression:
(2x) * (-5x^2) = -10x^3
(2x) * (-3x) = -6x^2
(2x) * (-2) = -4x
Next, distribute the second term of the first expression to every term of the second expression:
(4) * (-5x^2) = -20x^2
(4) * (-3x) = -12x
(4) * (-2) = -8
Now, we can combine like terms by adding or subtracting the products we obtained in the previous steps:
-10x^3 + (-6x^2) + (-4x) + (-20x^2) + (-12x) + (-8)
Combining like terms, we get:
-10x^3 - 6x^2 - 4x - 20x^2 - 12x - 8
Finally, we can simplify this expression by combining like terms further if possible:
-10x^3 - 26x^2 - 16x - 8
So, the complete work for multiplying (2x + 4) by (-5x^2 – 3x – 2) is -10x^3 - 26x^2 - 16x - 8.