Question

Factorize 9x^4+4y^4 -13x^2y^2​

Answer 1

Answer:

9x^4-4y^4Theory : 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 : 9 is the square of 3

Check : 4 is the square of 2

Check : x4 is the square of x2

Check : y4 is the square of y2

Factorization is : (3x2 + 2y2) • (3x2 - 2y2)