Answer:
Step-by-step explanation:

<span><span><span>(<span>4+2</span>)</span><span>(<span>−5</span>)</span></span>+<span>3<span>(<span><span>2−3</span>+2</span>)
</span></span></span><span>=<span><span><span>(6)</span><span>(<span>−5</span>)</span></span>+<span>3<span>(<span><span>2−3</span>+2</span>)
</span></span></span></span><span>=<span><span>−30</span>+<span>3<span>(<span><span>2−3</span>+2</span>)
</span></span></span></span><span>=<span><span>−30</span>+<span>3<span>(<span><span>−1</span>+2</span>)
</span></span></span></span><span>=<span><span>−30</span>+<span><span>(3)</span><span>(1)
</span></span></span></span><span>=<span><span>−30</span>+3
</span></span><span>=<span>−<span>27</span></span></span><span>
Hope this helps</span>
Answer:
(-1,5) and
are points on the graph
Step-by-step explanation:
Given

Required
Determine which point in on the graph
To get which of point A to D is on the graph, we have to plug in their values in the given expression using the format; (x,g(x))
A. (-1,5)
x = -1
Substitute -1 for x in 

Convert to index form

Change / to *


This satisfies (-1,5)
<em>Hence, (-1,5) is on the graph</em>
<em></em>
B. (1,0)
x = 1
Substitute 1 for x



<em>(1,0) is not on the graph because g(x) is not equal to 0</em>
C. 
x = 3
Substitute 3 for x


Apply law of indices


This satisfies 
<em>Hence, </em>
<em> is on the graph</em>
<em></em>
D. 
x = -2
Substitute -2 for x


Convert to index form



Change / to *


This does not satisfy 
<em>Hence, </em>
<em> is not on the graph</em>
Solution:
iv) Given equation: 
Since we are given two variables, we need to split the original expression into two quadratic expressions as

Factoring x first:

= 
= 

Factoring y now:

= 
= ![-1[ y(y+1) + 1(y+1)]](https://tex.z-dn.net/?f=-1%5B%20y%28y%2B1%29%20%2B%201%28y%2B1%29%5D)
= ![-1 [(y+1)(y+1)]](https://tex.z-dn.net/?f=-1%20%5B%28y%2B1%29%28y%2B1%29%5D)
= 
Therefore, the original expression becomes
