Find a polynomial, which if substituted for M will make the equation an identity: M + (5x2 - 2xy) = 6x2 + 9xy-y2

Question

Mathematics

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26 June, 02:12

Find a polynomial, which if substituted for M will make the equation an identity: M + (5x2 - 2xy) = 6x2 + 9xy-y2

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Answers (2)

Know the Answer?

Benjamin Mcdowell · Answer 1

M=x^2+11xy-y^2

Step-by-step explanation:

To find M you have to subtract.

6x^2+8xy-y^2 - (5x^2-2xy)

6x^2+9xy-y^2-5x^2+2xy

6x^2+11xy-y^2-5x^2

x^2+11xy-y^2

Jensen · Answer 2

Answer: you just solve for M

M = x^2 + 11xy - y^2

Step-by-step explanation:

M + (5x^2 - 2xy) = 6x^2 + 9xy-y^2

M = 6x^2-5x^2 + 9xy+2xy - y^2

M = x^2 + 11xy - y^2

Check:

x^2 + 11xy - y^2 + 5x^2 - 2xy

6x^2 + 9xy - y^2