Factoring the Sum of Squares in Complex Numbers

What is the factored form of X squared minus Y squared?

• X minus Y, times X minus Y

• X plus Y, times X plus Y

• X squared plus Y squared

• X plus Y, times X minus Y

Tags

CCSS.HSA.APR.C.4

Which terms cancel out when verifying the difference of squares formula?

• X and Y

• Negative Y squared and positive Y squared

• Negative XY and positive XY

• X squared and Y squared

Tags

CCSS.7.EE.A.1

Before knowing about imaginary numbers, how did we handle X squared plus Y squared?

• We factored it as X plus Y, times X minus Y

• We ignored it

• We couldn't factor it

• We used a different formula

Tags

CCSS.HSN.CN.C.9

What is the imaginary unit 'i' defined as?

• i equals negative one

• i squared equals 1

• i equals one

• i squared equals negative one

Tags

CCSS.HSN.CN.A.1

How can X squared plus Y squared be expressed using imaginary numbers?

• X squared plus Y squared

• X squared minus Y squared

• X squared plus iY squared

• X squared minus iY squared

Tags

CCSS.HSN.CN.A.1

What is the factored form of X squared plus Y squared using imaginary numbers?

• X plus Y, times X minus Y

• X minus iY, times X minus iY

• X plus iY, times X minus iY

• X plus iY, times X plus iY

What is the result of multiplying X plus iY and X minus iY?

• X squared plus iY squared

• X squared minus Y squared

• X squared minus iY squared

• X squared plus Y squared

Tags

CCSS.HSN.CN.C.8

What happens to the middle terms when multiplying X plus iY and X minus iY?

• They remain unchanged

• They add up

• They cancel out

• They multiply

Tags

CCSS.HSN.CN.C.8

What does i squared equal to?

• Negative one

• i

• 1

• Zero

Tags

CCSS.HSN.CN.A.1

What is the purpose of using the imaginary unit 'i' in factoring?

• To factor the sum of squares

• To simplify the expression

• To add complexity

• To verify the difference of squares

Tags

CCSS.HSN.CN.A.1