Answer:
2. 2x² + 7x - 13
Step-by-step explanation:
3[x² - 1] - [x² - 7x + 10]
3x² - 3 - x² + 7x - 10
2x² - 13 + 7x
The above answer is a bit written in reverse, which is the exact same result.
So, after performing the Distributive Property, from there, you can combine all like-terms, as done above.
** Now, just in case you are wondering why that -7 has been altered to its opposite, it is because although -7x does not have another like-term to pair up with, IT IS STILL HOOKED UP TO ANOTHER NEGATIVE, so that -7x is REALLY 7x.
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Answer:
x = 3
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask
Answer:
Step-by-step explanation:
13
<u><em>subsitution</em></u> means subsituteing something for another and getting the answer
the way to do this is to get an easy equation and make it equal to only one placeholder so
y=2x
so you can subsitute y for 2x anywhere you see a y
3x+y=5
subsitutute
3x+2x=5
5x=5
divide both sides by 5
x=1
subsitute
y=2(1)
y=2
<u><em>elimination</em></u> is when you elimintate one of the terms by adding the equations together and canceling som of them out
so y=2x
subtract y from both sides
0=2x-y or 2x-y=0
add this to the second equation
3x+2x+y-y=0+5
5x=5
divide both sides by 5
x=1
subsitute
y=2(1)
y=2
x=1
y=2
(2x-3)² - 3 is subtracted from 5x²
Solve the terms within the parenthesis and has exponents. Group like terms and simplify.
(2x-3)(2x-3) ⇒ 2x(2x-3) -3(2x-3) ⇒ 4x² - 6x - 6x² + 9 ⇒ -2x² - 6x + 9
Deduct 3 from the answer of the previous solution.
-2x² - 6x + 9 - 3 ⇒ -2x² - 6x + 6
Deduct the answer of the previous solution from 5x²
5x² - 2x² - 6x + 6 ⇒ 3x² - 6x + 6
3x² - 6x + 6 can be factored by 3.
3(x² - 2x + 2)
