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

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

7 0

Answer:

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

Gennadij [26K]3 years ago

5 0

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

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