Question

Simplify the expression. First use the distributive property to remove parentheses. 4(d-7)+2

Answer 1

Expressions

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Let's solve the problem given to us today! The problem is the following:

`\mapsto\quad\bf{4(d-7)+2}`

So first, we use the distributive property:

`\mapsto\quad\bf{4d-28+2}`

Now, combine the like terms:

`\mapsto\quad\bf{4x+26}`

Therefore, the answer is 4x + 26.

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Remember this...

- The distributive property states that
`\bf{a(b+c)= ab+ac}`; it is used for distributing a monomial to a binomial or a trinomial; however, it does not work for multiplying a binomial times a binomial - there's a different method.

- Combining like terms is a method used when simplifying complex expressions. Sometimes, we have like terms, which are terms with the same variable and/or exponent. We can add or subtract these terms by combining them. For example, when we have an expression like 4x + 2x, we can add the like terms, to get 6x; however, we cannot combine the like terms in expressions such as this one:
`4x^2+2x` or
`4x+6y`. Both of these have either different exponents or different variables.

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Answer 2

4d - 26

Explanation:

4d - 28 + 2

4d - 26