given y = (2x + 3)^2, choose the standard form of the given quadratic equation. 0 = 25x^2 0 = 4x^2 + 9 0 =…
given y = (2x + 3)^2, choose the standard form of the given quadratic equation. 0 = 25x^2 0 = 4x^2 + 9 0 = 4x^2 + 10x + 6 0 = 4x^2 + 12x + 9
Answer
Explanation:
Step1: Expand using formula
Use $(a + b)^2=a^{2}+2ab + b^{2}$, here $a = 2x$ and $b = 3$. So $(2x + 3)^2=(2x)^{2}+2\times(2x)\times3+3^{2}$.
Step2: Simplify each term
$(2x)^{2}=4x^{2}$, $2\times(2x)\times3 = 12x$, and $3^{2}=9$. Then $(2x + 3)^2=4x^{2}+12x + 9$.
Answer:
D. $0 = 4x^{2}+12x + 9$