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

Respuesta :

Answer: [tex]x^2 + 11 xy - y^2[/tex]

Step-by-step explanation:

Here the given equation ,

[tex]M + (5x^2 -2xy) = 6x^2 +9xy+y^2[/tex]

[tex]\implies M = 6x^2 +9xy+y^2 - (5x^2 -2xy)[/tex]

[tex]\implies M =(6-5)x^2 +(9+2)xy+y^2[/tex]

[tex]\implies M =x^2 +11 xy+ y^2[/tex]

Which is the required value of M which will make the equation an identity.

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