3 years ago

9 (x-y)^2-9 (x+y)(x-y)

Mathematics

1 answer:

bazaltina [42]3 years ago

3 0

<h2>Answer</h2>

This answer is 18y • (y - 1)

<h2>Explanation</h2>

Step by step solution:

Equation at the end of step 1:

$9 (x - y) ^2 - 9 (x^{2} - y^{2})$

Equation at the end of step 2:

$9 (x^2 + y^2 - 2xy) - 9 (x^2 - y^2)$

Equation at the end of step 3:

$9x^2 + 9y^2 - 18xy - 9x^2 + 9y^2$

Equation at the end of step 4:

After performing basic +, - operation we get:

$18y^2 - 18xy$

Answer is: 18y. (y – x)

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What is m<efh =(5×+1)°,m<hfg =62° and m <efg = (18×+11)°, find each measure.

Naddik [55]

Answer:

$m\angle efg=21\°\\\\m\angle hfg=62\°\\\\m\angle efg=83\°$

Step-by-step explanation:

Given:

$m\angle efh=5x+1\\m\angle hfg=62\\m\angle efg=18x+11$

Now, from the figure shown below,

The sum of angle efh and angle hfg is equal to the angle efg. This is true because of the angle addition postulate which states that when two angles are formed with the same vertex and different sides, then their sum is equal to the total angle made by both the sides at the vertex.

Here, point 'f' is the vertex and the sides are 'ef and 'fg'.

Therefore,

$m\angle efh+m\angle hfg=m\angle efg$