Question

Cho biểu thức A=3x²+3x/(x+1)(2x-6)

Tính giá trị biểu thức A tại x=1 và x=4

giúp mik với

Answer 1

\(A=\dfrac{3x^2+3x}{\left(x+1\right)\left(2x-6\right)}=\dfrac{3x\left(x+1\right)}{2\left(x+1\right)\left(x-3\right)}=\dfrac{3x}{2\left(x-3\right)}\)

Thay x=1 vào A ta được\(A=\dfrac{3x}{2\left(x-3\right)}=\dfrac{3.1}{2\left(1-3\right)}=\dfrac{3}{2.\left(-2\right)}=\dfrac{-3}{4}\)

Thay x=4 vào A ta được\(A=\dfrac{3x}{2\left(x-3\right)}=\dfrac{3.4}{2\left(4-3\right)}=\dfrac{12}{2.1}=\dfrac{12}{2}=6\)

Answer 2

\(A=\dfrac{3x\left(x+1\right)}{2\left(x-3\right)\left(x+1\right)}=\dfrac{3x}{2\left(x-3\right)}\\ x=1\Leftrightarrow A=\dfrac{3}{2\left(-2\right)}=-\dfrac{3}{4}\\ x=4\Leftrightarrow A=\dfrac{12}{2}=6\)

Answer 3

\(\left[{}\begin{matrix}A=\dfrac{3\cdot1^2+3\cdot1}{\left(1+1\right)\left(2\cdot1-6\right)}=-\dfrac{3}{4}\\A=\dfrac{3\cdot4^2+3\cdot4}{\left(4+1\right)\left(2\cdot4-6\right)}=6\end{matrix}\right.\)