All categories

3 years ago

3st+2su-4sv factorised

1 answer:

5 0

The first step to factorising this expression, is finding what is common in each term.
The GCF of 3, 2 and -4 is 1 therefore we will not have a coefficient of the outside terms.
Then we have st, su and sv
s is common in all of them therefore we can take out s.

So far we have s( )
Now for each term we must find what we multiply by s to reach it.
3st / s = 3t
2su / s = 2u
-4sv / s = -4v

Now just put these values inside the brackets.

s(3t + 2u - 4v)

You might be interested in

What value of w would make the equation true

Rashid [163]

Step-by-step explanation:

$\frac{12w + 8}{6} = \frac{8w - 16}{3 } \\ 36w + 24 = 48w - 96 \\ 36w - 48w = - 96 - 24 \\ - 12w = - 120 \\ w = 10$

6 0

2 years ago

2. Select all solutions to (x - 2)2 = -16.

Murljashka [212]

Answer:

Step-by-step explanation:

wrong it would be 4 just did it and got it correct

3 0

3 years ago

Write the equation of the function whose graph is shown. y = (x + )2 +

Deffense [45]

Quadratic form is given in the form
$y= ax^{2}+bx+c$ , where a, b, and c are constants

We substitute the value (8, 12) and (5,3) in turn

$12= a(8)^{2}+b(8)+c$
$12=64a+8b+c$ ... Equation 1

$3=a(5)^{2}+b(5)+c$
$3=25a+5b+c$ ... Equation 2

Equation 1 - Equation 2 gives
$39a+3b=9$ , we call this Equation 3

We also know that (5, 3) is the turning point of the curve, where the value of $x$ is given by $x=- \frac{b}{2a}$
Substitute $x=5$
$5=- \frac{b}{2a}$
$10a=-b$
$b=-10a$ ... Equation 4

Substitute Equation 4 into Equation 3
$39a+3b=9$
$39a+3(-10a)=9$
$39a-30a=9$
$9a=9$
$a=1$

Now we need to work out the value of $b$ and $c$

Substitute $a=1$ back into equation 4
$-10a=b$
$-10(1)=b$
$b=-10$

Substitute $a=1$ and $b=-10$ into either equation 1 or equation 2

$64a+8b+c=12$
$64(1)+8(-10)+c=12$
$64-80+c=12$
$c=12+80-64$
$c=28$

Hence the equation of the quadratic curve is
$y= x^{2} 10x+28$

8 0

3 years ago

Read 2 more answers

John has $20.00 to spend for his mother's birthday. A string of pearls and a pair of pearl earrings costs $25.00. They are on sa

Phoenix [80]

Answer:

2.50

Step-by-step explanation:

30% of 25 is 7.50 take that away from 25 gives you 17.50 take that away from 20 gives you 2.50

4 0

3 years ago

When 5/8 of the books had been sold, there were only 309 books remaining. how many books were there originally?

Whitepunk [10]

There were 824 books originally

8 0

3 years ago