QuestionMultiply the binomials using FOIL and combine like terms: $(x+9)(x-8)$ .

Studdy Solution

STEP 1

Assumptions1. We are multiplying two binomials $(x+9)$ and $(x-8)$ . We are using the FOIL method to multiply the binomials. FOIL stands for First, Outer, Inner, Last. This refers to the terms in the binomials that are multiplied together.
3. Like terms are terms that have the same variables and powers. The coefficients do not need to match.

STEP 2

First, we multiply the first terms in each binomial.
$First = x \cdot x$

STEP 3

Now, we multiply the outer terms in each binomial.
$Outer = x \cdot -8$

STEP 4

Next, we multiply the inner terms in each binomial.
$Inner =9 \cdot x$

STEP 5

Finally, we multiply the last terms in each binomial.
$Last =9 \cdot -8$

STEP 6

Now, we add all the products together.
$x^2 -8x +9x -72$

STEP 7

Combine like terms.
$x^2 + x -72$ So, the product of $(x+9)(x-)$ is $x^2 + x -72$ .

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QuestionMultiply the binomials using FOIL and combine like terms: $(x+9)(x-8)$ .

Studdy Solution

STEP 1

STEP 2

First, we multiply the first terms in each binomial.
$First = x \cdot x$

STEP 3

Now, we multiply the outer terms in each binomial.
$Outer = x \cdot -8$

STEP 4

Next, we multiply the inner terms in each binomial.
$Inner =9 \cdot x$

STEP 5

Finally, we multiply the last terms in each binomial.
$Last =9 \cdot -8$

STEP 6

Now, we add all the products together.
$x^2 -8x +9x -72$

STEP 7

Combine like terms.
$x^2 + x -72$ So, the product of $(x+9)(x-)$ is $x^2 + x -72$ .

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QuestionMultiply the binomials using FOIL and combine like terms: (x+9)(x−8)(x+9)(x-8)(x+9)(x−8).

Studdy Solution

STEP 1

STEP 2

First, we multiply the first terms in each binomial.First=x⋅xFirst = x \cdot xFirst=x⋅x

STEP 3

Now, we multiply the outer terms in each binomial.Outer=x⋅−8Outer = x \cdot -8Outer=x⋅−8

STEP 4

Next, we multiply the inner terms in each binomial.Inner=9⋅xInner =9 \cdot xInner=9⋅x

STEP 5

Finally, we multiply the last terms in each binomial.Last=9⋅−8Last =9 \cdot -8Last=9⋅−8

STEP 6

Now, we add all the products together.x2−8x+9x−72x^2 -8x +9x -72x2−8x+9x−72

STEP 7

Combine like terms.x2+x−72x^2 + x -72x2+x−72So, the product of (x+9)(x−)(x+9)(x-)(x+9)(x−) is x2+x−72x^2 + x -72x2+x−72.

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QuestionMultiply the binomials using FOIL and combine like terms: $(x+9)(x-8)$ .

First, we multiply the first terms in each binomial.
$First = x \cdot x$

Now, we multiply the outer terms in each binomial.
$Outer = x \cdot -8$

Next, we multiply the inner terms in each binomial.
$Inner =9 \cdot x$

Finally, we multiply the last terms in each binomial.
$Last =9 \cdot -8$

Now, we add all the products together.
$x^2 -8x +9x -72$

Combine like terms.
$x^2 + x -72$ So, the product of $(x+9)(x-)$ is $x^2 + x -72$ .