(-4x-2y)(-2x5y3) =
a. 8x-10y3
b. -8x3y4
c. -8 x10y3
d. 8x3y4
None of the above! The correct answer is:
e. 8x^2y^4 + 4x^3y^3
To multiply the given expressions (-4x-2y) and (-2x5y3), we need to apply the distributive property, which states that a(b + c) = ab + ac.
First, let's multiply the first terms:
-4x * -2x = 8x2
Next, let's multiply the outer terms:
-4x * 5y3 = -20x y3
Then, let's multiply the inner terms:
-2y * -2x = 4xy
Finally, let's multiply the last terms:
-2y * 5y3 = -10y4
Now, we can combine the like terms:
8x2 - 20x y3 + 4xy - 10y4
Therefore, the correct answer is:
b. -8 x3y4
To simplify the expression (-4x-2y)(-2x5y3), we need to multiply the terms inside the parentheses using distributive property.
First, let's apply distributive property to the terms inside the parentheses.
(-4x-2y)(-2x5y3) = -4x * -2x5y3 - 2y * -2x5y3
Now, multiply each term separately.
-4x * -2x5y3 = 8x3 * 5y3 = 40x3y3
-2y * -2x5y3 = 4x5y3 * -2y = -8x5y3 * y = -8x5y4
Now, if we combine the simplified terms, we get:
40x3y3 - 8x5y4
Therefore, the correct answer to the expression (-4x-2y)(-2x5y3) is option b. -8x3y4.