Question

X2 - y2 from 3x2 %0+2y2 +2​

Answer 1

Step-by-step explanation:

X2 - y2 from 3x2

Changes made to your input should not affect the solution:

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

STEP

1

:

Equation at the end of step 1

3x2 • (x2 - y2)

STEP

2

:

Trying to factor as a Difference of Squares:

2.1 Factoring: x2-y2

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 : x2 is the square of x1

Check : y2 is the square of y1

Factorization is : (x + y) • (x - y)

Final result :

3x2 • (x + y) • (x - y)