Question

[(x+y)^2-z^2][(x-y)^2-z^2]​

Answer 1

Step-by-step explanation:

STEP

STEP1

STEP1:

STEP1: x - y - z

STEP1: x - y - z Simplify —————————

STEP1: x - y - z Simplify ————————— x + y - z

STEP1: x - y - z Simplify ————————— x + y - zEquation at the end of step

STEP1: x - y - z Simplify ————————— x + y - zEquation at the end of step1

STEP1: x - y - z Simplify ————————— x + y - zEquation at the end of step1:

STEP1: x - y - z Simplify ————————— x + y - zEquation at the end of step1: (((x-y)2)-(z2)) (x-y-z)

STEP1: x - y - z Simplify ————————— x + y - zEquation at the end of step1: (((x-y)2)-(z2)) (x-y-z) ——————————————— ÷ ———————

STEP1: x - y - z Simplify ————————— x + y - zEquation at the end of step1: (((x-y)2)-(z2)) (x-y-z) ——————————————— ÷ ——————— (((x+y)2)-(z2)) x+y

:

: x2 - 2xy + y2 - z2

: x2 - 2xy + y2 - z2 Simplify ——————————————————

: x2 - 2xy + y2 - z2 Simplify —————————————————— x2 + 2xy + y2 - z2

: x2 - 2xy + y2 - z2 Simplify —————————————————— x2 + 2xy + y2 - z2Equation at the end of step

: x2 - 2xy + y2 - z2 Simplify —————————————————— x2 + 2xy + y2 - z2Equation at the end of step2

: x2 - 2xy + y2 - z2 Simplify —————————————————— x2 + 2xy + y2 - z2Equation at the end of step2:

: x2 - 2xy + y2 - z2 Simplify —————————————————— x2 + 2xy + y2 - z2Equation at the end of step2: (x2 - 2xy + y2 - z2) (x - y - z)

: x2 - 2xy + y2 - z2 Simplify —————————————————— x2 + 2xy + y2 - z2Equation at the end of step2: (x2 - 2xy + y2 - z2) (x - y - z) ———————————————————— ÷ ———————————

: x2 - 2xy + y2 - z2 Simplify —————————————————— x2 + 2xy + y2 - z2Equation at the end of step2: (x2 - 2xy + y2 - z2) (x - y - z) ———————————————————— ÷ ——————————— x2 + 2xy + y2 - z2 x + y - z

: x2 - 2xy + y2 - z2 Simplify —————————————————— x2 + 2xy + y2 - z2Equation at the end of step2: (x2 - 2xy + y2 - z2) (x - y - z) ———————————————————— ÷ ——————————— x2 + 2xy + y2 - z2 x + y - z STEP

: x2 - 2xy + y2 - z2 Simplify —————————————————— x2 + 2xy + y2 - z2Equation at the end of step2: (x2 - 2xy + y2 - z2) (x - y - z) ———————————————————— ÷ ——————————— x2 + 2xy + y2 - z2 x + y - z STEP3

: x2 - 2xy + y2 - z2 Simplify —————————————————— x2 + 2xy + y2 - z2Equation at the end of step2: (x2 - 2xy + y2 - z2) (x - y - z) ———————————————————— ÷ ——————————— x2 + 2xy + y2 - z2 x + y - z STEP3:

: x2 - 2xy + y2 - z2 Simplify —————————————————— x2 + 2xy + y2 - z2Equation at the end of step2: (x2 - 2xy + y2 - z2) (x - y - z) ———————————————————— ÷ ——————————— x2 + 2xy + y2 - z2 x + y - z STEP3: x2-2xy+y2-z2 x-y-z

: x2 - 2xy + y2 - z2 Simplify —————————————————— x2 + 2xy + y2 - z2Equation at the end of step2: (x2 - 2xy + y2 - z2) (x - y - z) ———————————————————— ÷ ——————————— x2 + 2xy + y2 - z2 x + y - z STEP3: x2-2xy+y2-z2 x-y-z Divide —————————————— by ———————

: x2 - 2xy + y2 - z2 Simplify —————————————————— x2 + 2xy + y2 - z2Equation at the end of step2: (x2 - 2xy + y2 - z2) (x - y - z) ———————————————————— ÷ ——————————— x2 + 2xy + y2 - z2 x + y - z STEP3: x2-2xy+y2-z2 x-y-z Divide —————————————— by ——————— (x2+2xy+y2-z2) (x+y-z)

: x2 - 2xy + y2 - z2 Simplify —————————————————— x2 + 2xy + y2 - z2Equation at the end of step2: (x2 - 2xy + y2 - z2) (x - y - z) ———————————————————— ÷ ——————————— x2 + 2xy + y2 - z2 x + y - z STEP3: x2-2xy+y2-z2 x-y-z Divide —————————————— by ——————— (x2+2xy+y2-z2) (x+y-z) 3.1 Dividing fractions

Answer 2

Step by Step Solution

STEP1:

x - y - z

Simplify —————————

x + y - z

Equation at the end of step1:

(((x-y)2)-(z2)) (x-y-z)

——————————————— ÷ ———————

(((x+y)2)-(z2)) x+y-z

STEP2:

x2 - 2xy + y2 - z2

Simplify ——————————————————

x2 + 2xy + y2 - z2

Equation at the end of step 2:

(x2 - 2xy + y2 - z2) (x - y - z)

———————————————————— ÷ ———————————

x2 + 2xy + y2 - z2 x + y - z

STEP 3:

x2-2xy+y2-z2 x-y-z

Divide —————————————— by ———————

(x2+2xy+y2-z2) (x+y-z)

3.1 Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

x2 - 2xy + y2 - z2 x - y - z x2 - 2xy + y2 - z2 x + y - z

———————————————————— ÷ ——————————— = ———————————————————— • ———————————

(x2 + 2xy + y2 - z2) (x + y - z) (x2 + 2xy + y2 - z2) (x - y - z)

Final result :

(x2 - 2xy + y2 - z2) • (x + y - z)

——————————————————————————————————

(x2 + 2xy + y2 - z2) • (x - y - z)