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Factorize x³-x

x³-x=x(x²-1)=x(x+1)(x-1)

Answered by Jia Qin L. • Maths tutor

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Can you solve these simultaneous equations and find the values of x and y? Equation 1: 2x + y = 14 Equation 2: 4x - y = 10.

Equation 1: 2x + y = 14 Equation 2: 4x - y = 10

Add the two equations together to get 6x = 24. Therefore x = 4.

Then substitute the value x = 4 into equation 1 and solve. ...

Answered by Hannah G. • Maths tutor

4497 Views

Do two random lines, y=ax + b and y=cx + d, intersect? How do we work this out and if they do, where do they intersect?

Let us use Line 1 and Line 2 as an example.

Line 1: y = 2x + 3

Line 2: y = -0.5x + 7

Step 1 - Try and plot the two functions on a x, y coordinate axes.

Answered by Ivan J. • Maths tutor

11993 Views

Two dice are thrown at the same time. What is the probability that the sum of the numbers on the dice is greater than 7?

The answer would be 5/12.
This is because a sum greater than 7 appears 15 times out of a given sample space of 36. Hence the probability would be 15/36 = 5/12

Answered by Srinvas Saikiran P. • Maths tutor

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Pythagorus' Theorum enables us to calculate the length of any side of a right angled triangle provided we know the other two lengths. This is done by substituting in the appropriate values into the equ...

Answered by Sam D. • Maths tutor

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