All categories

2 years ago

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)

You might be interested in

Which choice is equivalent to the fraction below? 1/4

RoseWind [281]

The second one because 1/4 times 3/3 equals 3/12

4 0

3 years ago

Thelma spent 1/6 of her weekly allowance on dog toys. 1/4 on a dog collar and 1/3 on dog food. What fraction of her weekly all

Paladinen [302]

To figure out you would first find a common factor with would be 12. After that 1/4 would be 3/12, 1/3 would be 4/12 and 1/6 would be 2/12. Next you just add all the numbers and get 9/12 then the remainder is you answer which comes to be 3/12 or 1/4. Hope that helps:)

3 0

3 years ago

Read 2 more answers

Solve for xxx. Your answer must be simplified. -4+x≤9

Degger [83]

Answer:

x≤13

Step-by-step explanation:

-4+x≤9

Add 4 to each side

-4+4+x≤9+4

x≤13

5 0

3 years ago

(x+40)(x+40) show steps

pishuonlain [190]

(x + 40) * (x + 40) =

(x + 40)² =

x² + 80x + 1600

6 0

3 years ago

Evaluate this exponential expression (27/8)^ 4/3<br><br> A: 9/2<br> B: 4/3<br> C: 81/16

valkas [14]

$\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left( \cfrac{27}{8} \right)^{\frac{4}{3}}\implies \left( \cfrac{3^3}{2^3} \right)^{\frac{4}{3}}\implies \left( \cfrac{3^{3\cdot \frac{4}{3}}}{2^{3\cdot \frac{4}{3}}} \right)\implies \cfrac{3^4}{2^4}\implies \cfrac{81}{16}$

7 0

3 years ago