QuestionMultiply the binomials using FOIL and combine like terms: $(x-1)(x+3)$ .

Studdy Solution

STEP 1

Assumptions1. We are given two binomials $(x-1)$ and $(x+3)$ . . We are asked to multiply these binomials using the FOIL method.
3. The FOIL method stands for First, Outer, Inner, Last. It is a method used for multiplying binomials.
4. After using the FOIL method, we need to combine like terms.

STEP 2

The FOIL method involves four multiplications1. First terms of each binomial2. Outer terms of the binomial. Inner terms of the binomial4. Last terms of each binomialWe will apply this method to our problem.

STEP 3

Multiply the first terms of each binomial.
$First x \cdot x = x^2$

STEP 4

Multiply the outer terms of the binomial.
$Outer x \cdot3 =3x$

STEP 5

Multiply the inner terms of the binomial.
$Inner -1 \cdot x = -x$

STEP 6

Multiply the last terms of each binomial.
$Last -1 \cdot3 = -3$

STEP 7

Now, let's add all these terms together.
$x^2 +3x - x -3$

STEP 8

Finally, we combine like terms. The like terms in this expression are $3x$ and $-x$ .
$x^2 + (3x - x) -3$

STEP 9

Perform the subtraction in the parentheses.
$x^2 +2x -3$ The product of the binomials $(x-)$ and $(x+3)$ is $x^2 +2x -3$ .

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QuestionMultiply the binomials using FOIL and combine like terms: $(x-1)(x+3)$ .

Studdy Solution

STEP 1

Assumptions1. We are given two binomials $(x-1)$ and $(x+3)$ . . We are asked to multiply these binomials using the FOIL method.
3. The FOIL method stands for First, Outer, Inner, Last. It is a method used for multiplying binomials.
4. After using the FOIL method, we need to combine like terms.

STEP 2

The FOIL method involves four multiplications1. First terms of each binomial2. Outer terms of the binomial. Inner terms of the binomial4. Last terms of each binomialWe will apply this method to our problem.

STEP 3

Multiply the first terms of each binomial.
$First x \cdot x = x^2$

STEP 4

Multiply the outer terms of the binomial.
$Outer x \cdot3 =3x$

STEP 5

Multiply the inner terms of the binomial.
$Inner -1 \cdot x = -x$

STEP 6

Multiply the last terms of each binomial.
$Last -1 \cdot3 = -3$

STEP 7

Now, let's add all these terms together.
$x^2 +3x - x -3$

STEP 8

Finally, we combine like terms. The like terms in this expression are $3x$ and $-x$ .
$x^2 + (3x - x) -3$

STEP 9

Perform the subtraction in the parentheses.
$x^2 +2x -3$ The product of the binomials $(x-)$ and $(x+3)$ is $x^2 +2x -3$ .

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QuestionMultiply the binomials using FOIL and combine like terms: (x−1)(x+3)(x-1)(x+3)(x−1)(x+3).

Studdy Solution

STEP 1

STEP 2

The FOIL method involves four multiplications1. First terms of each binomial2. Outer terms of the binomial. Inner terms of the binomial4. Last terms of each binomialWe will apply this method to our problem.

STEP 3

Multiply the first terms of each binomial.Firstx⋅x=x2First x \cdot x = x^2Firstx⋅x=x2

STEP 4

Multiply the outer terms of the binomial.Outerx⋅3=3xOuter x \cdot3 =3xOuterx⋅3=3x

STEP 5

Multiply the inner terms of the binomial.Inner−1⋅x=−xInner -1 \cdot x = -xInner−1⋅x=−x

STEP 6

Multiply the last terms of each binomial.Last−1⋅3=−3Last -1 \cdot3 = -3Last−1⋅3=−3

STEP 7

Now, let's add all these terms together.x2+3x−x−3x^2 +3x - x -3x2+3x−x−3

STEP 8

Finally, we combine like terms. The like terms in this expression are 3x3x3x and −x-x−x.x2+(3x−x)−3x^2 + (3x - x) -3x2+(3x−x)−3

STEP 9

Perform the subtraction in the parentheses.x2+2x−3x^2 +2x -3x2+2x−3The product of the binomials (x−)(x-)(x−) and (x+3)(x+3)(x+3) is x2+2x−3x^2 +2x -3x2+2x−3.

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QuestionMultiply the binomials using FOIL and combine like terms: $(x-1)(x+3)$ .

Multiply the first terms of each binomial.
$First x \cdot x = x^2$

Multiply the outer terms of the binomial.
$Outer x \cdot3 =3x$

Multiply the inner terms of the binomial.
$Inner -1 \cdot x = -x$

Multiply the last terms of each binomial.
$Last -1 \cdot3 = -3$

Now, let's add all these terms together.
$x^2 +3x - x -3$

Finally, we combine like terms. The like terms in this expression are $3x$ and $-x$ .
$x^2 + (3x - x) -3$

Perform the subtraction in the parentheses.
$x^2 +2x -3$ The product of the binomials $(x-)$ and $(x+3)$ is $x^2 +2x -3$ .