Question

Find 2x2 - 2z4 + y2 - x2 + z4 if x = -4, y = 3, and z = 2.

Answer 1

I will help you in just a sec! I am finishing up with another user

Answer 2

okay thank you !

Answer 3

Okay I am back! First plug in all the values.

\(2 \times 2 ~-~2z4~+~ y2 ~- ~x2 ~+ ~z4\)

\(2 \times 2 ~-~2\times 2 \times4~+~ 3\times2 ~- ~-4\times2 ~+ ~2\times4\)

Now following the order of operations, we must multiply starting from the left side of the equation, so first what is 2 x 2?

Answer 4

4

Answer 5

Good now we have

\(4~-~2\times 2 \times4~+~ 3\times2 ~- ~-4\times2 ~+ ~2\times4\)

Now what is 2 x 2 x 4?

Answer 6

16

Answer 7

Great! now we have

\(4 ~-~16~+~ 3\times2 ~- ~-4\times2 ~+ ~2\times4\)

Now tell me what is 3 x 2?

Answer 8

6

Answer 9

Awesome now we have

\(4 ~-~16~+~ 6 ~- ~(-4)\times2 ~+ ~2\times4\)

Now can you tell me what is -4 x 3?

Answer 10

Sorry -4 x 2, not 3

Answer 11

-8

Answer 12

Yes! Now we have

\(4 ~-~16~+~ 6 ~- (-8)~+ ~2\times4\)

Last multiplication :) What is 2 x 4?

Answer 13

8

Answer 14

Yes! Now we start subtracting/dding from left to right!

\(4 ~-~16~+~ 6 ~- (-8)~+ ~8\)

So what is 4 - 16?

Answer 15

-12

Answer 16

Good! Now we have

\(-12~+~ 6 ~- (-8)~+ ~8\)

Now what is -12 + 6?

Answer 17

-6

Answer 18

Correct! Now we have

\((-6) ~- (-8)~+ ~8\)

Can you tell me what is -6 - (-8)?

Answer 19

2

Answer 20

Yes! Now we have

\(2~+ ~8\)

:) And that is your answer

Answer 21

10

Answer 22

Yay!