Use the distributive property to expand the following expression: -4(2a + 6b - 7)

Mathematics

2 answers:

Alex73 [517]4 years ago

8 0

Answer:

-8a-24b=28. A simplified equation would be -32a+28

Step-by-step explanation:

First we have to multiple every number in the parentheses by (-4). This would give us -8,-24, and 28. Then we just replace the values and simplify by combining -8 and -24

Semenov [28]4 years ago

5 0

Answer:

-8a - 24b + 28

Step-by-step explanation:

When you distribute, you multiply each number inside of the parentheses by the number outside of the parentheses.

Distribute:

-4(2a + 6b - 7)

-4(2a) -4(6b) -4(-7)

Multiply:

-4(2a) -4(6b) -4(-7)

-8a - 24b + 28

That's it! Hope this helps :)

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Can anyone please help me with 1,2,&,3 ?

Serhud [2]

Okay, lets start with number 1.

$(x+3)^{3}$ is also equal to (x+3)(x+3)(x+3)

If you take the first two ones and multiple them out it ends up with $x^{2} + 3x +3x + 9$ or also know as $x^{2} + 6x + 9$

You see to multiply them you take the first number in the first group of parenthesis and use the distributive property on the second equation, then you do the same this but with the second number in the first equation.

So once you have $(x^{2} + 6x + 9)$ you multiply it with your remaining (x + 3) using the distributive property to get $x^3 + 9x^2 + 27x + 27$