Question

4. Simplify the expression using the distributive property.
9(4y - 7)

Answer 1

36y - 63

Explanation:

Brackets in maths mean multiplying the numbers inside the bracket by the outside

9(4y - 7)

First seperate them:

9 × 4y and 9 × -7

Make sure to remember that terms and number always come with the symbol before it, so 4y - 7 means +4y and -7. Not 7, if there's nothing there then it's positive.

Now multiply, 9 × 4y = 36y, we're multiplying so terms can come together.

and 9 × -7 = -63

Remember positive multiplied by a negative. is a negative

Now we put the answers together however, this isn't multiplying and 36y and 63 aren't like terms so they stay separate. there is a sign before the -63 so it subtracting so the final answer is 36y - 63

golden rule for multiplying:

a positive and a negative make a negative answer - × + = -

a positive and a positive make a positive

make a positive + × + = +

a negative and negative make a positive

- × - = +

Answer 2

Hey there!

The Distributive Property states the following:

a(b+c)=ab+ac

where

a, b, and c can be either constants or variables

Now that we know what the property states, let's simplify our expression:

9(4y-7)

36y-63 (we multiplied 9 times 4y and -7)

Note: When multiplying a positive number times a negative number, we always get a negative number.

Can the expression 36y-63 be simplified any further? No, because 36y and -63 are not like terms; you cannot combine them.

Hope everything is clear.

Let me know if you have any other questions!

#LearningDoesn'tEnd

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