Question

factorise the following expression 20msquare n+30mn​

Answer 1

Answer:

Factoring: m2-n2

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : m2 is the square of m1

Check : n2 is the square of n1

Factorization is : (m + n) • (m - n)

Final result :

(m + n) • (m - n)