Question

answer for this please give me the answer (x2-y2)z+(y2-z2)x​

Answer 1

solution :

 x2z + xy2 - xz2 - y2z

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "z2"   was replaced by   "z^2".  3 more similar replacement(s).

Step by step solution :

Step  1  :

Trying to factor as a Difference of Squares :

1.1      Factoring:  y2-z2

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 :  y2  is the square of  y1

Check :  z2  is the square of  z1

Factorization is :       (y + z)  •  (y - z)

Equation at the end of step  1  :

 (((x2)-(y2))•z)+x•(y+z)•(y-z)

Step  2  :

Trying to factor as a Difference of Squares :

2.1      Factoring:  x2-y2

Check :  x2  is the square of  x1

Check :  y2  is the square of  y1

Factorization is :       (x + y)  •  (x - y)

Equation at the end of step  2  :

 z•(x+y)•(x-y)+x•(y+z)•(y-z)

Step  3  :

Final result :

 x2z + xy2 - xz2 - y2z

Answer 2

tell that how to do this question by which method?