Question

Square of 2x^2 – 3y^2 is​

Answer 1

Answer:

answer=4x⁴-6x²y²+9y⁴

Step-by-step explanation:

(2x²-3y²)²

=(2x²)²-2(2x²)(3y²)+(3y²)²

=4x⁴-6x²y²+9y⁴

Answer 2

Answer:

Changes made to your input should not affect the solution:

(1): "y2" was replaced by "y^2". 1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

(2 • (x2)) - 3y2

STEP

2

:

Equation at the end of step

2

:

2x2 - 3y2

STEP

3

:

Trying to factor as a Difference of Squares:

3.1 Factoring: 2x2-3y2

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 : 2 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Final result :

2x2 - 3y2

Step-by-step explanation:

hope it helps you dear