Question

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

Answer 1

Answer:
`x^2 + 11 xy - y^2`

Explanation:

Here the given equation ,

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

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

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

`\implies M =x^2 +11 xy+ y^2`

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