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3 years ago

What is the simplest form of this expression? -(х – 2)(3х2 + 4х-5)

Mathematics

2 answers:

jekas [21]3 years ago

8 0

C.
(-x+2) (3x^2 + 4x-5)
-3x^3 -4x^2 + 5x (distributing (-x) into everything)
6x^2 + 8x -10 (distributing 2 into everything)
-3x^3 +2x^2 +13x - 10... (adding like terms)
Answer choice C

skad [1K]3 years ago

7 0

Answer:

Step-by-step explanation:

3x^2 * -x =-3x^3

3x^2 * 2. =6x^2

4x* -x =-4x^2

4x * 2 = 8x

-5 * -x = 5x

-5 * 2 = -10

6x^2 + -4x^2 = 2x^2

8x+5x = 13 x

Ans: -3x^3 + 2x^2 + 13x -10

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Read 2 more answers

Indentify which values are solutions of 3x - 5 ≤ -2

azamat

Answer:

x ≤ 1

Step-by-step explanation:

First, add 5 to both sides (we want to isolate x).

3x ≤ 3

Now, we divide by 3.

x ≤ 1

That's the answer! All values equal to or less than 1 are solutions of 3x - 5 ≤ -2.

Hope this helps

8 0

3 years ago

How do I solve this

sdas [7]

$\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-------------------------------\\\\
\cfrac{2x}{x^2+2x-24}-\cfrac{x}{x^2-36}\quad 
\begin{cases}
x^2+2x-24\implies (x+6)(x-4)\\
--------------\\
x^2-36\implies x^2-6^2\\
(x-6)(x+6)
\end{cases}$

$\bf \cfrac{2x}{(x+6)(x-4)}-\cfrac{x}{(x-6)(x+6)}\impliedby 
\begin{array}{llll}
\textit{thus our LCD is}\\
(x-6)(x+6)(x-4)
\end{array}
\\\\\\
\cfrac{[(x-6)2x]~-~[(x-4)x]}{(x-6)(x+6)(x-4)}\implies \cfrac{2x^2-12x-x^2+4x}{(x-6)(x+6)(x-4)}
\\\\\\
\cfrac{x^2-8x}{(x-6)(x+6)(x-4)}$

3 0

3 years ago