simplify : (xy+yz)²-2xy²z
Answers
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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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)