Class IX

Polynomial Identities

Interactive practice questions

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

Easy

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.

Easy

6min

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

Easy

2min

Consider the following diagram.

Easy

4min

Outcomes

9.A.P.3

Recall of algebraic expressions and identities. Further identities of the type: (x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2yz + 2zx, (x ± y)^ 3 = x^3 ± y^3 ± 3xy (x ± y), x^3 + y^3 + z^3 – 3xyz = (x + y + z) (x^2 + y^2 + z^2 – xy – yz – zx) and their use in factorization of polynomials. Simple expressions reducible to these polynomials.

Polynomial Identities

Interactive practice questions

Outcomes

9.A.P.3

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