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How do you expand brackets?

Take the expression(x+2)(x+4). Expanding brackets essentially means multiplying them out to get a new expression. In this case, it will have the form x2+cx+d, where c and d are numbers to be de...

Answered by Jan A. Maths tutor
3384 Views

Expand and simplify: 4(2x − 3) − 2(x − 5)

4(2x - 3) - 2(x - 5) [Remember that a negative multiplied by a negative makes a positive]
8x - 12 - 2x +10
6x - 2 [Check: can I simplify further?
2(3x -...

Answered by Rachel C. Maths tutor
6532 Views

In a class there are 57 students. Of these 32 study Spanish, 40 study German and 12 students study neither. How many students study Spanish but not German?

The best approach to this problem is using a Venn Diagram. The first step to solving this problem is calculating the number of students who study Spanish or German or both. In the question we are given th...

Answered by Calum D. Maths tutor
3254 Views

What's the best way to work out any percentage of a given number, e.g. 63% of 450?

The best way to approach this is to begin by working out what 1% of 450 would be:450 is 100% of 450So to work out what 1% of 450 is:450 ÷ 100 = 4.5Now we know th...

Answered by Isobel W. Maths tutor
2446 Views

What are the first 4 non-zero terms in the binomial expansion of (2+3x)^6

Well in a binomial expansion we need to remember the formula (1+x)^n = 1 + nx + (n(n-1)(x^2))/2! + (n(n-1)(n-2)x^3)/3! + ... (I can draw this out properly on the whiteboard app)There is another formula bu...

Answered by Kester G. Maths tutor
4878 Views

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