Simplify the expression.
(x − 3)(2x − 4) − (x + 2)(x − 6)=
no ideas after all the help on previous questions?
i think it is 2x^3-10x+12--am i right i guess i just need confirmation please...last one and thsnk you so much
Hmmm. Nope.
(2x^2-10x+12) - (x^2-4x-12)
x^2 - 6x + 24
Better double-check your work.
And, just FYI, posting multiple problems with no comments or work makes people think you're just mooching answers. Always helps to show you've mad a stab at it. Even better to show your work, in case you went astray somewhere.
thanks Steve I will
To simplify the given expression, we'll start by expanding both sets of parentheses, and then we'll combine like terms.
Given expression: (x − 3)(2x − 4) − (x + 2)(x − 6)
Step 1: Expand the first set of parentheses using the distributive property:
(x − 3)(2x) = 2x^2 − 6x
(x − 3)(-4) = -4x + 12
Combining both terms, we get:
2x^2 − 6x − 4x + 12
Step 2: Expand the second set of parentheses using the distributive property:
(x + 2)(x) = x^2 + 2x
(x + 2)(-6) = -6x - 12
Combining both terms, we get:
x^2 + 2x - 6x - 12
Step 3: Combine like terms:
2x^2 − 6x − 4x + 12 − (x^2 + 2x - 6x - 12)
2x^2 − 10x + 12 − x^2 − 2x + 6x + 12
Step 4: Combine like terms again:
(2x^2 − x^2) + (-10x − 2x + 6x) + (12 + 12)
x^2 - 6x + 24
Therefore, the simplified expression is x^2 - 6x + 24.