Hello, please consider the following.
Task 1 - solve the following system
Part 1 - algebraically
y=y, right? So, we can write.
We will come up with an equation to solve, that we can solve by completing the square, or using the discriminant, or factorising knowing the sum and the product of the zeroes.
Part 2 - graphically
I attached the graph of the line and the parabola.
And then we check for the intersection points.
Here, we can see that there is one point of intersection for x = -2 and then y = 0.
Task 2 - Polynomial Identities.
Part 1 - Square
Let's take 30=50-20=10(5-2)
Using this formula, we just need to compute smaller squares, so it helps for the computation.
Part 2 - Cubic
Let's take 9 and 14.
This is the same idea here where we have to compute smaller numbers.
Thank you