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Expand and simplify the following expression: (2x-1)(3x+2)

Use a double-bracket expansion method such as FOIL (first, outer, inner, last). If you don't know FOIL or how to expand double brackets, don't worry, I will explain it to you in the session.

6x

OB
Answered by Oliver B. Maths tutor
10116 Views

Integrate ln(x) wrt dx

Integrate by parts. First rewrite the integral in the form udv/dx, which is (1)ln(x). Then integrate (1)ln(x) wrt dx by assigning u=ln(x) du/dx=1/x and dv/dx=1 v=x. We can determine the integral of ln...

ST
Answered by Sathurthini T. Maths tutor
4267 Views

Solve 3x2 + 7x – 13 = 0 Give your solutions correct to 2 decimal places.

a=3 b=7 c=-13

Use quad formula: -b+-root[(b^2-4ac)/2a]

Sub in values: -7+-root[7^2-4x3x-13] =1.22 and -3.55

BP
Answered by Bronte P. Maths tutor
5420 Views

Express x^2 - 7x + 2 in the form (x - p)^2 + q , where p and q are rational numbers.

This is an example of completing the square.If we expand (x - p)^2 + q, we will have x^2 -2px + p + q.Now we can use algebra to work out what p and q are from the following equation. x^2 - 7x + 2 = x^2 -2...

CP
Answered by Catherine P. Maths tutor
18494 Views

Expand (x+3)(x+1).

The Ancient Greeks perceived a much stronger relationship between Algebra and Geometry than we do today and because of that they often utilised Geometry to help think about, and solve, certain algebraic q...

DC
Answered by Daniel C. Maths tutor
3627 Views

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