Question

simplify : (xy+yz)²-2xy²z

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

((xy + yz)2) - (2xy2 • z)

STEP

2

:

2.1 Evaluate : (xy+yz)2 = x2y2+2xy2z+y2z2

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

x2y2 + y2z2 = y2 • (x2 + z2)

Final result :

y2 • (x2 + z2)

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Answer 2

The answer to the simplification is, y²(x²+z²)

Given : The given algebraic expression is, (xy+yz)²-2xy²z

To find : Simplification of the given algebraic expression.

Solution :

We can simply solve this mathematical problem by using the following mathematical process.

Here, we will be using general algebraic formula.

So,

= (xy+yz)²-2xy²z

= [(xy)²+(2 × xy × yz)+(yz)²] -2xy²z

= (x²y²+2xy²z+y²z²)-2xy²z

= x²y²+2xy²z+y²z²-2xy²z

= x²y²+y²z²

= y²(x²+z²)

(This will be considered as the final result.)

Used formula :

• (a+b)² = a²+2ab+b²

Hence, the answer to the Simplification is, y²(x²+z²)