multiply (x^2+x+6)(x-6)
This has to be distributed using foil. First multiply beginning term (X^2) by X then by -6. Then multiply second term (x) by X then by -6. Multiply third term (6) by x then by -6. Combine like terms.
X^3-6x^2+2x-36 this is what I got is this how it is done???
That isnt the answer I get when I work it.
[(X^2)(x)+(X^2)(-6)]+[(X)(X)+(X)(-6)]+[(6)(X)+(6)(6)]
Notice that:
X^2 gets multiplied by both the X and 6
X gets multiplied by both the X and ^
6 gets multiplied by both the X and 6
Ok I got x^3+7x^2-36 is this correct or did i miss something?
To multiply the expressions (x^2+x+6)(x-6), we can use the distributive property and the rules of exponents. Follow these steps to simplify the multiplication:
Step 1: Expand the expression
To expand (x^2+x+6)(x-6), you need to distribute each term from the first expression (x^2+x+6) to each term in the second expression (x-6).
(x^2+x+6)(x-6) = x^2(x-6) + x(x-6) + 6(x-6)
Step 2: Simplify each term
Now you can simplify each term separately by multiplying the coefficients and adding the exponents.
x^2(x-6) = x^2 * x - x^2 * 6 = x^3 - 6x^2
x(x-6) = x * x - x * 6 = x^2 - 6x
6(x-6) = 6 * x - 6 * 6 = 6x - 36
Step 3: Combine the simplified terms
Combine the simplified terms to get the final result:
(x^2+x+6)(x-6) = x^3 - 6x^2 + x^2 - 6x + 6x - 36
Simplify further by combining like terms:
= x^3 - 6x^2 + x^2 - 6x + 6x - 36
= x^3 - 5x^2 - 36
So, the product of (x^2+x+6)(x-6) is x^3 - 5x^2 - 36.