Answer:
A = 5x³ + 17x² - 35x - 30
Step-by-step explanation:
the shaded area (A) is calculated as
A = outer area - inner area
= (5x + 3)(x² + 4x - 10) - 3x(2x - 1) ← distribute parenthesis
= 5x³ + 20x² - 50x + 3x² + 12x - 30 - (6x² - 3x)
= 5x³ + 23x² - 38x - 30 - 6x² + 3x ← collect like terms
= 5x³ + 17x² - 35x - 30
Answer:

Step-by-step explanation:
(
)
Multiply
by each term in the parentheses.
+ 
Now, all you have to do is simplify.

Answer:
d)X=4 or x=-2
Step-by-step explanation:
X²-2x=8
X²-2x-8=0
(x-4)(x+2)=0
X-4=0 or x+2=0
X=4 or x=-2
Answer:

Step-by-step explanation:
Given that

Here


We know that
M dx + N dy=0 will be exact if

So


it means that this is a exact equation.

Noe by integrating above equation

Given that
x= 0 then y= 1

C=4
So the our final equation will be
