Question

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Answer 1

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❚ QuEstiOn ❚

# Find the sum of .

5z³+2yz²+9y²z-6yz+10y²

and

8y²+2zy²-6z²y+2zy-3z³

Also find the coefficient of the term involving yz in the sum so obtained .

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❚ ANsWeR ❚

✺ Given :

The expressions are ,

• 5z³+2yz²+9y²z-6yz+10y²
• 8y²+2zy²-6z²y+2zy-3z³

✺ To Find :

• The sum of the expressions
• the coefficient of the term involving yz

✺ Explanation :

$\implies\sf{\ \ {Sum=(5z^3+2yz^2+9y^2z-6yz+10y^2)+(8y^2+2zy^2-6z^2y+2zy-3z^3)}}$

$\implies\sf{\ \ {Sum=5z^3+2yz^2+9y^2z-6yz+10y^2+8y^2+2zy^2-6z^2y+2zy-3z^3}}$

$\implies\sf{\ \ {Sum=(5z^3-3z^3)+(2yz^2-6z^2y)+(9y^2z+2zy^2)+(2zy-6yz)+(10y^2+8y^2)}}$

$\implies\sf{\ \ {Sum=2z^3-4z^2y+11y^2z-4yz+18y^2}}$

$\implies\boxed{\sf{\ \ {Sum=2z^3-4z^2y+11y^2z\red{-4yz}+18y^2}}}$

✺ Therefore :

The coefficient of the term involving yz in the sum so obtained is = $\boxed{\large{-4}}$

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Answer 2

Answer:

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