Multiply
3x + 3
by
-4x2 + 4x – 2 (Points : 20)
(3x + 3)(-4x^2 + 4x - 2)
-12x^3 + 12x^2 - 6x - 12x^2 + 12x - 6
note that the 12x^2 and -12x^2 will cancel out, and we combine -6x and 12x:
-12x^3 + 6x - 6
hope this helps~ :)
(3x+3)(-4x^2+4x-2)=
3x(-4x^2)+3(-4x^2)+3x(4x)+3(4x)+3x(-2)+
+3(-2)=
To multiply the expression (3x + 3) by the expression (-4x^2 + 4x - 2), we need to use the distributive property and multiply every term in the first expression by every term in the second expression.
Let's break it down step by step:
Step 1: Multiply (3x) by every term in the second expression.
-4x^2 * 3x = -12x^3
4x * 3x = 12x^2
-2 * 3x = -6x
Step 2: Multiply (3) by every term in the second expression.
-4x^2 * 3 = -12x^2
4x * 3 = 12x
-2 * 3 = -6
Step 3: Combine all the terms we obtained:
-12x^3 + 12x^2 - 6x - 12x^2 + 12x - 6
Step 4: Simplify the expression by combining like terms:
-12x^3 - 6x - 6
Therefore, the product of (3x + 3) and (-4x^2 + 4x - 2) is -12x^3 - 6x - 6.