Question

Simplify : (xy+yz)² -(xy-yz)²
Can anyone say the answer of this question

Answer 1

Answer:

4xy²z

Step-by-step explanation:

(xy + yz)² - (xy - yz)²

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

x²y² + 2xy²z + y²z² - x²y² + 2xy²z - y²z²

2xy²z + 2xy²z

4xy²z

Answer 2

$\huge\fbox\red{Answer}$

$\sf\:(xy+yz)² -(xy-yz)²$

Using formula :

$\tt\pink{(a+b)²=a²+2ab+b²}$

$\tt\pink{(a-b)²=a²-2ab+b²}$

$\sf⇥\:[(xy)²+2 \times xy \times yz + (yz)²]-[(xy)²-2 \times xy \times yz + (yz)²]$

$\sf⇥\:[x²y²+2xy²z + y²z²]-[x²y²-2xy²z + y²z²]$

$\sf⇥\:x²y²+2xy²z + y²z²-x²y²+2xy²z - y²z²$

$\sf⇥\:2xy²z+2xy²z$

$\tt\pink{⇨\:4xy²z}$

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