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simply fully (2x^2 -3)^2 - (2x^2 + 2)^2

= (2x^2-3)(2x^2-3) -{(2x^2+2)(2x^2+2)}= 4x^4-6x^2-6x^2+9 -(4x^4+4x^2+4x^2+4)= 4x^4-12x^2+9-4x^4-8x^2-4= -20x^2+5= -5(4x^2-1) or 5(-4x^2+1)
MS
Answered by morgan s. • Maths tutor
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What is the definition of the slope?

For both the two main subjects I intend on teaching in this platform, I highly recommend to my students to focus on the theory as a first step (this could be a definition, some notes, etc). So, by trying to ...
MM
Answered by Maria-Eliza M. • Maths tutor
3987 Views

Find d/dx (ln(2x^3+x+8))

Use the chain rule: dy/dx = dy/du * du/dx Let y = ln(2x^3+x+8)Let u = 2x^3+x+8 dy/dx = d/dx (ln(2x^3+x+8)) = dy/du * du/dx dy/du = 1/udu/dx = 6x^2 + 1 dy/dx = 1/u * (6x^2 + 1) = (1/(2x^3+x+8)) * (6x^2 + 1) =...
Answered by • Maths tutor
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What is the Pythagoras’ theorem and how can it be used to work out the distance between two points?

Pythagoras’ theorem is the formula used to calculate any side of a right-angled triangle. The concept is that the square of the hypotenuse is equal to the sum of the squares on the other two sides. Assigning...
SW
Answered by Samuel W. • Maths tutor
3116 Views

Use integration by parts to find ∫x e^(x)

So to integrate this function we would need to use a method called Integration by parts that you may have come across in your studies. This is where we separate the function into two parts to make it easier ...
Answered by • Maths tutor
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