Evaluate each expression for p=-4, q=8, and r=-10. -p² -7q +r²...

Question

Evaluate each expression for p=-4, q=8, and r=-10. -p² -7q +r²

Accepted Answer

Hello Today we're going to be simplifying the given expression using the given values. So what we are given is negative two times M squared plus three times N minus O squared. And we are told that M is equal to negative nine and is equal to one and O is equal to negative 14. So in order to simplify this expression we're going to need to substitute in the values for M N. And O. And doing this is going to give us negative two times M squared which is going to be negative nine squared plus three times N which is three times one minus O squared. Which is going to be negative 14 squared. Now in order to simplify this negative nine squared is the same thing as saying negative nine times negative nine and negative nine times negative nine is going to give us positive 81 and the same thing goes for negative 14 squared negative 14 squared is the same thing as negative 14 times negative And -14 times negative 14 is going to give us positive 196. So substituting these values to the expression is going to give us negative two times 81 plus three times one which is going to be three minus negative 14 squared which is going to give us 196. Negative two times 81 is going to give us negative 162. So we have negative 162 plus three minus 196. And adding the three values together is going to give us negative 355 which is going to be the simplified form of the original expression. And with that being said, the answer to this problem is going to be a so I hope this video helps you in understanding how to approach this problem, and I'll go ahead and see you all in the next video.

Evaluate each expression for p=-4, q=8, and r=-10. -p² -7q +r²

Key Concepts

Order of Operations

Evaluating Expressions with Variables

Exponents and Squaring Negative Numbers

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