Question

Express equation in form (ax+b)^2

y=x^2+18+81

Answer 1

`y = (x+9)^2`

Explanation:

A equation is given to us and we need to convert it into (ax + b)² form . The given equation is ,

`\sf\longrightarrow y = x^2+ 18x + 81`

Here we need to complete the whole square of the terms in RHS . We can write it as ,

`\sf\longrightarrow y = x^2+ 2(9)(x) + 9^2`

Notice that the RHS is the form of a² + b² + 2ab = (a + b)² . So that ,

`\sf\longrightarrow \underline{\boxed{\red{\sf y = ( x + 9)^2 }}}`