Question

Given y = (2x + 3)2, choose the standard form of the given quadratic equation. 0 = 25x2 0 = 4x2 + 9 0 = 4x2 + 10x + 6 0 = 4x2 + 12x + 9

Answer 1

`4x^2+12x+9`

Step-by-step explanation:

We are given that

`y=(2x+3)^2`

We have to choose standard form of given quadratic equation.

We know that

`(a+b)^2=a^2+b^2+2ab`

Using this identity

`(2x+3)^2=4x^2+9+2* 2x* 3`

`(2x+3)^2=4x^2+9+12x`

Hence, the standard form of given quadratic equation is given by

`y=(2x+3)^2=4x^2+12x+9`

Answer 2

Answer:
`y=4x^2+12x+9`

Step-by-step explanation:

Given quadratic equation :
`y = (2x + 3)^2`

Using identity :

`(a+b)^2=a^2+b^2+2ab`

Put
`a=2x` and
`b=3` , then we have

`(2x + 3)^2=(2x)^2+(3)^2+2(2x)(3)`

`\Rightarrow\ (2x+3)^2=4x^2+12x+9`

Hence, the standard form of the given quadratic equation
`y = (2x + 3)^2` will be :-

`y=4x^2+12x+9`