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3.03 Polynomial identities

Adaptive
Worksheet

Interactive practice questions

Prove that $\left(m-n\right)^2=m^2-2mn+n^2$(mn)2=m22mn+n2, showing all steps of work.

Medium
2min

Use the identity $\left(u+v\right)^2=u^2+2uv+v^2$(u+v)2=u2+2uv+v2 with $v<10$v<10 to find the value of $1002^2$10022.

Medium
6min

Kathleen noticed that if she multiplies the square number $289$289 by another square number $64$64, the result is a square number.

Medium
2min

Prove that $m^3-n^3=\left(m-n\right)\left(m^2+mn+n^2\right)$m3n3=(mn)(m2+mn+n2), showing all steps of work.

Medium
3min
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Outcomes

N.CN.C.8 (+)

Extend polynomial identities to the complex numbers.

A.SSE.A.2

Use the structure of an expression to identify ways to rewrite it.

A.APR.C.4

Prove polynomial identities and use them to describe numerical relationships.

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