Answer:
36y - 63
Step-by-step 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
- × - = +
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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