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Write the result of the multiplication [tex]\((-2x + 5) \cdot (-3x - 1)\)[/tex].

You may choose to use the area model or the distributive method. Don't forget to combine like terms.

Sagot :

GinnyAnswer
Sure! Let's work through the expression step-by-step to simplify it.

We start with the expression [tex]\((-2x + 5) - (-3x - 1)\)[/tex].

1. Distribute the negative sign in the second part:

When you subtract a quantity, it is equivalent to adding its inverse. So, we need to distribute the negative sign inside the parentheses.

[tex]\[ (-2x + 5) - (-3x - 1) \][/tex]

Distributing the negative sign:

[tex]\[ -2x + 5 + 3x + 1 \][/tex]

2. Combine like terms:

Now we need to combine the like terms. Like terms are terms that contain the same variable raised to the same power. In this case, we have [tex]\(-2x\)[/tex] and [tex]\(3x\)[/tex] which are like terms.

Combining [tex]\(-2x\)[/tex] and [tex]\(3x\)[/tex] involves performing the addition:

[tex]\[ -2x + 3x = x \][/tex]

Next, combine the constants [tex]\(5\)[/tex] and [tex]\(1\)[/tex]:

[tex]\[ 5 + 1 = 6 \][/tex]

3. Write the final simplified expression:

So, after combining like terms, we get:

[tex]\[ x + 6 \][/tex]

Therefore, the result of the multiplication [tex]\((-2x + 5) - (-3x - 1)\)[/tex] is:

[tex]\[ x + 6 \][/tex]
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