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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 -...

RC
Answered by Rachel C. Maths tutor
7386 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...

CD
Answered by Calum D. Maths tutor
3570 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...

IW
Answered by Isobel W. Maths tutor
2715 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...

KG
Answered by Kester G. Maths tutor
5221 Views

Simplify √(4x^8).

√(4x8) = √4 x √(x8) = 2 x (x8)1/2 = 2x4
Remember that (xn)p= xnp.

DS
Answered by Della S. Maths tutor
3888 Views

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