All categories

3 years ago

Factorise the following expression using grouping and use binomial products to simplify.

Mathematics

2 answers:

Blizzard [7]3 years ago

7 0

Answer:

Answer is below. I have grouped it.

Step-by-step explanation:

=(11x-55) + (-5a+ax)

=11 ( x - 5) +a ( -5+x)

= 11(x-5)+a(x-5)

(11+a)(x-5)

(x-5)(11+a)

rewona [7]3 years ago

6 0

Answer:

11x-55-5a+ax

11(x-5)+a(x-5)

(11+a)(x-5)

Step-by-step explanation:

First you factor out the common factors

for(11x-55) is would be 11 as both of these figures are the multiple of 11

for(ax-5a) the common factor is a which will be factor out

Then after doing the process you will get

11(x-5)+a(x-5)

then factor out(x-5)which will give you

(11+a)(x-5)

You might be interested in

Can someone anyone help me??? This is an example problem for how my teacher wants our work to be shown with this layout I don’t

Lana71 [14]

$a = \frac{1}{4}$
$b = -6$
$c = -5$
$d = 1$

I think that this is what your teacher is trying to ask.

7 0

3 years ago

Create a table to find the third differences for the polynomial s^3 − s^2 +s for integer values of ss from −3 to 3.

evablogger [386]

Step-by-step explanation:

$f(s)=s^3-s^2$

at s = -3

$f(-3)=-3^3-(-3)^2=18$

at s = -2

$f(-2)=-2^3-(-2)^2\\\Rightarrow f(-2)=-12$

at s = -1

$f(-1)=-1^3-(-1)^2\\\Rightarrow f(-1)=-2$

at s = 0

$f(0)=0^3-0^2\\\Rightarrow f(0)=0$

at s = 1

$f(1)=1^3-1^2\\\Rightarrow f(1)=0$

at s = 2

$f(2)=2^3-2^2\\\Rightarrow f(2)=4$

at s = 3

$f(3)=3^3-3^2\\\Rightarrow f(3)=18$

First difference

$f(-2')=f(-2)-f(-3)=-12-18=-30$

$f(-1')=f(-1)-f(-2')=-2--12=10$

$f(0')=f(0)-f(-1)=0--2=2$

$f(1')=f(1)-f(0)=0-0=0$

$f(2')=f(2)-f(1)=4-0=4$

$f(3')=f(3)-f(2)=18-4=14$

Second difference

$f(-1'')=f(-1')-f(-2')=10--30=40$

$f(0'')=f(0')-f(-1')=-8-40=-48$

$f(1'')=f(1')-f(0')=-2--8=6$

$f(2'')=f(2')-f(1')=14-4=10$

Third difference

$f(0'')-f(-1'')=-8-40=48$

$f(1'')-f(0'')=-2--8=6$

$f(2'')-f(1'')=4--2=6$

$f(2'')-f(1'')=10-4=6$

18 -12 -2 0 0 4 18

-30 10 2 0 4 14

40 -8 -2 4 10

-48 6 6 6

6 0

4 years ago

TheSolution to the equation is ??

spayn [35]

Answer:

X = 1

Step-by-step explanation:

2x^2 + x - 1 = 2

2x^2 + x - 3 = 0

2x^2 + 3x -2x - 3 = 0

x(2x+3) -1 ( 2x+3) = 0

(x-1) (2x+3) = 0

x-1=0

x=1

2x+3=0

2x=-3

x=-3/2.

5 0

3 years ago

I’m confused on 11 can y’all help me??

NeTakaya

Answer:

I believe that you would add all of the components on the table in order to get your answer value.

Step-by-step explanation:

90 + 105 = 195

195 + 110 = 305

305 + 150 = 455

Your answer is 455 calories

3 0

3 years ago

2. Consider the division operations below and choose whether the result can be rational,

bearhunter [10]

Answer:

All are rational.

Step-by-step explanation:

=1/3/3/5

=1/3×5/3

=5/9

5/9 is non-terminating and recurring number so it is rational.

4/3√9/5

=4/3*3/5

=4/5

4/5 is a terminating number it is rational.

2*√16/√4

=2*4/2

4 is a natural/whole number it is also rational.

Note:if you need to ask any questions please let me know.

4 0

3 years ago