All categories

2 years ago

Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2

Mathematics

1 answer:

Rasek [7]2 years ago

8 0

The factorisation of the given expressions is as follows;

a) p²y²– 2py + 1 = (py -1)²
b) a²y² -2aby +b² = (ay - b)²

<h3>Factorization using identities</h3>

The given identity is;

a²– 2ab + b² = (a – b)²

From the given identity, we can conclude that;

In the expression (a);

py represents a in the identity and 1 represents b in the identity.

In the expression (b);

ay represents a in the identity and b represents b in the identity.

Hence, the factorised expressions are as represented above.

You might be interested in

What is 1+1<br> Who ever awnser first get brainlyist

Bas_tet [7]

Answer:

Step-by-step explanation:

Hope this helps, been doing it all my life! :P

8 0

4 years ago

Read 2 more answers

Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for

yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(100,54) and (660, 138)

substitute

$m=\frac{138-54}{660-100}$

$m=\frac{84}{560}=\$0.15\ per\ minute$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=0.15\\point\ (100,54)$

substitute

$y-54=0.15(x-100)$

step 3

Convert to slope intercept form

Isolate the variable y

$y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39$

therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

6 0

3 years ago

A local bowling alley charges bowlers $5.25 per game and $3.50 to rent a pair of bowling shoes. The bowling alley also offers fo

Fynjy0 [20]

Answer:

i need help with this also it is confusing is yours a test???

Step-by-step explanation:

6 0

3 years ago

10=1<br> bbb nbththhhhhhhhhhhhhhhhhhhhhhh

8_murik_8 [283]

Answer:

Cool dude... very unique?

6 0

3 years ago

In the diagram below, O is circumscribed about quadrilateral DEFG. What is

Nimfa-mama [501]

Since O is circumscribed about quadrilateral DEFG, the value of x is equal to: D. 68°.

<h3>What is a supplementary angle?</h3>

A supplementary angle can be defined as two (2) angles or arc whose sum is always equal to 180 degrees. Mathematically, a supplementary angle can be calculated as follows:

Q + R = 180°.

In Geometry, the opposite angles of any cyclic quadrilateral that is inscribed inside a circle always form a supplementary angle. Thus, we would determine the value of x by using the mathematical expression above:

x + 112° = 180°

x = 180° - 112°

x = 68°

Read more on supplementary angle here: brainly.com/question/12542846

#SPJ1

8 0

2 years ago