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2 years ago

Simplify the following expression by distributing and combining like terms 6(x - 4) + 10(2x + 3)

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

3 0

Answer:

6x - 24 + 20x + 30

Step-by-step explanation:

I got this because when you have an equation that you have to use the distributive property on you always do that first. So therefore if you correctly distribute the equation:

6(x - 4) + 10(2x + 3)

6x - 24 + 20x + 30

When using the distributive property, you use the term that is in front of the parenthesis and multiply the outside term by the inside term(s). Now for combining like terms you combine the terms that are similar. There are two different types of terms in this equation: constant and term with variable. However, there are 4 total terms in this equation. If you correctly combine your like terms you should get this:

26x + 6

I got this by combining the two terms 6x and 20x. They both have the variable 'x' therefore they are like terms. I also combined the two like terms -24 and 30.

I hope this is helpful!

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Find the product. If the result is negative, enter "-". If the result is positive, enter "+". -7(- a2 ) 2 ( -b3 ).

m_a_m_a [10]

Answer:

The product is positive, thus it is $\bold{+7a^4b^3}$

Step-by-step explanation:

The full question in proper notation is:

"Find the product. If the result is negative, enter "-". If the result is positive, enter "+".

$-7(-a^2)^2(-b^3)$ "

We have to work with it using Order of operations know as well as PEMDAS, thus expression inside parenthesis go first and exponents.

On this expression we have to work with exponents

$(-a^2)^2 = (-a^2)(-a^2) =a^4$

Thus we get

$-7(-a^2)^2(-b^3)=-7a^4(-b^3)$

Lastly we can work with multiplication and remembering that the multiplication of two negative signs becomes positive.

$-7(-a^2)^2(-b^3)=7a^4b^3$

So the final simplified expression is $\bold{7a^4b^3}$

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Answer:

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Step-by-step explanation:

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