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valina [46]
2 years ago
13

What is the simplest form of this expression? (2x-3)(3x^2+2x-1)

Mathematics
1 answer:
Keith_Richards [23]2 years ago
3 0

Answer:

6x^3-5x^2-8x+3

Step-by-step explanation:

(2x-3)(3x^2+2x-1)

6x^3+4x^2-2x-9x^2-6x+3

6x^3+4x^2-9x^2-2x-6x+3

6x^3-5x^2-8x+3

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Suppose you want to prove a theorem of the form p → (q ∨ r). Prove that this is equivalent to showing that (p ∧ ¬q) → r.
tino4ka555 [31]

You "distributed" the negation inside the parenthesis. Let's focus on the \lnot (p\wedge \lnot q) part.

We can distribute the negation inside the parenthesis by negating every term, and switching and with or, and vice versa. So, you have

\lnot (p\wedge \lnot q) \equiv (\lnot p) (\lnot \wedge) (\lnot \lnot q)

Of course, writing \lnot \wedge is improper, I was just stressing the fact that we distributed the negation to every term in the parenthesis. So, since a double negation cancels out, you're left with

\lnot (p\wedge \lnot q) \equiv \lnot p \lor q

which of course implies that

\lnot (p\wedge \lnot q) \lor q \equiv (\lnot p \lor q) \lor q

Edit: I actually derived the expression in the opposite order, but since they are equivalent, it doesn't really matters where you start from and where you get to. Anyway, if you actually want to derive \lnot (p \wedge \lnot q) \lor r from (\lnot p \lor q), you simply have to negate the first parenthesis and distribute the negation as discussed.

7 0
3 years ago
What number is between 2 and 7 is less than 100 but larger than 50 the product of three different prime numbers?
alukav5142 [94]
............... it is 70
3 0
3 years ago
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How to divide a small number by a bigger number?
EastWind [94]
To divide a small number by a bigger number, just see how many times the smaller number fits into the bigger number.
6 0
3 years ago
Decimal 23.5 x 100 =
Alexeev081 [22]

Answer:

2350

Step-by-step explanation:

23.5 × 100 move the decimal point right by 2 because there's two 0

8 0
2 years ago
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A computer company's stock costs $122 at the start of the day. At the end of the day it costs $93. By what amount did the stock'
Helga [31]

Answer:

the amount the stock changed over the day = $29

Step-by-step explanation:

The stock cost $122 at the start of the day . At the end of the day it cost $93. The amount the stock value changed can be calculated below.

The initial amount of the stock that days was $122 but at the end of the day it changes to $93. This means the stock cost decreases over the day.

Initial cost of stock at the day = $122

Final cost at the end of the day = $93

the amount the stock changes over the day = initial cost of stock at the day - final cost at the end of the day.

the amount the stock changes over the day = 122 - 93

the amount the stock changed over the day = $29

Generally, the stock decreased over the day.

7 0
3 years ago
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