Question

Find the quotients: (10x2 +29xy-y

2

) ÷(2x+7y)
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Answer 1

Answer:

5x - 3y

Step-by-step explanation:

$(10x^2 +29xy-y^2) / (2x+7y)\\= 10x^2 + 35xy - 6xy - 21y^2 + 22y^2\\= 5x(2x + 7y) - 3y(2x + 7y) + 22y^2\\= (2x + 7y) (5x - 3y) + 22y^2\\= (2x + 7y) Quotient + Remainder$

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So quotient = 5x - 3y