Question

(y-3)(y+2)-(y-1)*(y-5)​ y=2 1/4

Answer 1

Ответ:

5у-11

Объяснение:

(y-3)(y+2)-(y-1)*(y-5)​ = у²-3у+2у-6-у²+у+5у-5= 5у-11

Answer 2

To evaluate the expression $(y-3)(y+2)-(y-1)(y-5)$ when $y = 2\frac{1}{4}$, you can substitute the value of $y$ into the expression and perform the calculations step by step.

Step 1: Replace $y$ with $2\frac{1}{4}$:

$$\begin{align*} &= \left(2\frac{1}{4}-3\right)\left(2\frac{1}{4}+2\right)-\left(2\frac{1}{4}-1\right)\left(2\frac{1}{4}-5\right) \end{align*}$$

Step 2: Simplify each term separately:

a) $\left(2\frac{1}{4}-3\right)$ can be simplified as follows:

$$\begin{align*} 2\frac{1}{4}-3 &= \frac{9}{4}-3 \\ &= \frac{9}{4}-\frac{12}{4} \\ &= \frac{-3}{4} \end{align*}$$

b) $\left(2\frac{1}{4}+2\right)$ can be simplified as follows:

$$\begin{align*} 2\frac{1}{4}+2 &= \frac{9}{4}+2 \\ &= \frac{9}{4}+\frac{8}{4} \\ &= \frac{17}{4} \end{align*}$$

c) $\left(2\frac{1}{4}-1\right)$ can be simplified as follows:

$$\begin{align*} 2\frac{1}{4}-1 &= \frac{9}{4}-1 \\ &= \frac{9}{4}-\frac{4}{4} \\ &= \frac{5}{4} \end{align*}$$

d) $\left(2\frac{1}{4}-5\right)$ can be simplified as follows:

$$\begin{align*} 2\frac{1}{4}-5 &= \frac{9}{4}-5 \\ &= \frac{9}{4}-\frac{20}{4} \\ &= \frac{-11}{4} \end{align*}$$

Step 3: Substitute these simplified values back into the original expression and compute the result:

$$\begin{align*} &= \left(\frac{-3}{4}\right)\left(\frac{17}{4}\right)-\left(\frac{5}{4}\right)\left(\frac{-11}{4}\right) \\ &= \frac{(-3)(17)}{(4)(4)} - \frac{(5)(-11)}{(4)(4)} \\ &= \frac{-51}{16} + \frac{55}{16} \\ &= \frac{-51 + 55}{16} \\ &= \frac{4}{16} \\ &= \frac{1}{4} \end{align*}$$