From the sum of 5y2 + 7yz, -5y2 – yz – z 2 and 4yz + 3z2 , subtract the sum of (3 marks) 5y2 – 3z2 and 8y2 + yz – 6z2
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Step-by-step explanation:
Sum of 5y² + 7yz + (-5y² - yz - z²) + 4yz + 3z²
= 5y² + 7yz - 5y² - yz - z² + 4yz + 3z²
= 5y²- 5y² + 7yz + 4yz - yz - z² + 3z²
= 10yz + 2z²
Now sum of 5y² - 3z² + 8y² + yz - 6z²
= 5y² + 8y² - 3z² - 6z² + yz
= 13y² - 9z² + yz
Subtraction of both :
10yz + 2z² - (13y²- 9z² + yz)
= 10yz + 2z² - 13y² + 9z² - yz
= 10yz - yz + 2z² + 9z² - 13y²
= 9yz + 11z² - 13y²
May the answer will help you!!!
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Answer:
From the sum of 5y2 + 7yz, -5y2 – yz – z 2 and 4yz + 3z2 , subtract the sum of (3 marks) 5y2 – 3z2 and 8y2 + yz – 6z2
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