Question

Simplify: (xy + yz)2 – (xy – yz)2

Answer 1

HEY THERE!!!


Question;-

Simplify: (xy + yz)² – (xy – yz)²

Method of Solution;-


(xy+yz)²-(xy-yz)²

xy² +yz² +2.xy.yz -(xy²+yz²-2xy.yz)

(xy)² +(yz)² +2xy²z -[(xy)² +(yz)² -2xy²z

(xy)² +(yz)² +2xy²z -(xy²)-(yz)² + 2xy²z


Cancelled (xy)² +(yz)² and -(xy²)-(yz)².

2xy²z+ 2xy²z

=> 4xy²z


Hence, Value of (xy + yz)² – (xy – yz)² => 4xy²z


Note;-

(a+b)²-(a-b)² = 4ab

Answer 2

here is your answer OK

xy+yz)² - (xy-yz)²

x²y² + y²z² +2xy²z - (x²y² +y²z² -2xy²z)

x²y² -x²y² +y²z² - y²z² +2xy²z +2xy²z

4xy²z


OK it's very simple OK