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Temka [501]
2 years ago
7

4x^2 - y^2 - 2x- y Factorise each of the following expressions completely

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
3 0

Answer:

(2x + y)(2x - y - 1)

Step-by-step explanation:

4x² - y² - 2x - y

4x² - y² is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

4x² - y²

= (2x)² - y²

= (2x - y)(2x + y)

expression is now

(2x - y)(2x + y) - (2x + y) ← factor out (2x + y) from each term

= (2x + y)(2x - y - 1)

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simplify the difference. (–7x – 5x4 5) – (–7x4 – 5 – 9x) a. 2x4 2x 10 b. –14x4 10x 10 c. –14x4 – 10x 10 d. 2x4 2x 8
11Alexandr11 [23.1K]
If you would like to simplify the difference <span>(–7x – 5x^4 + 5) – (–7x^4 – 5 – 9x), you can do this using the following steps:

</span><span>(–7x – 5x^4 + 5) – (–7x^4 – 5 – 9x) = -7x - 5x^4 + 5 + 7x^4 + 5 + 9x = 2x^4 + 2x + 10

The correct result would be </span><span>a. 2x^4 + 2x + 10.</span>
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3 years ago
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3 years ago
Simplify 2x^2+6x-7x+8-3x^2+1
Doss [256]
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I hope this helps you!
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3 years ago
Read 2 more answers
Use the information given to enter an equation in standard form.
grin007 [14]

Answer:

6x - 5y = -5

Step-by-step explanation:

Your FIRST goal is to fill out y = mx + b with the values of m (your slope) and b (your y-intercept). First, find m by dividing the change in y in the two points given by their change in x. (43 - 31)/(35-25) = 12/10 = 6/5. Plug this in immediately for a "placeholder equation" of y = 6/5x + b, which you can plug either of your points into and solve for b.

43 = 6/5(35) + b

43 = 42 + b

1 = b

Your SLOPE-INTERCEPT equation is y = 6/5x + 1. However, you were asked for standard form. This means you must convert into ax + by = c, where a b and c are all whole numbers, and a is positive.

y = 6/5x + 1

-6/5x + y = 1

6/5x - y = -1

6x - 5y = -5, and this is your final answer.

Let me know if you need a more in-depth explanation on any part of this!

6 0
3 years ago
I Need the answer for these 3
11111nata11111 [884]

Here you go enjoy

Have a good rest of your night

5 0
2 years ago
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