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

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

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 :-

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

Answer 2

Answer:

$4x^2+12x+9$

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

$(2x+3)^2=4x^2+9+2\times 2x\times 3$

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

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

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