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How can you expand brackets? e.g: (x-4)(x+7)

The answer is of the form ax 2 +bx+c The a term is found by the product of the coefficients of the x in the brackets. e.g ( 2 x+7)( -4 x+6) would give -8 x 2 . However for this example, we will only use coef...
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Answered by Sam T. • Maths tutor
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The turning point on a quadratic function

often with functions you may be required to find the maximum or minimum point in a curve. This can be especially present in a quadratic function. These are functions that have an x raised to the power of two...
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Answered by Ankur G. • Maths tutor
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Solve the equation: (2x+3)/(x-4)-(2x-8)/(2x+1)=1

By solving this equation we are trying to find the value of x . First we must combine the two fractions into one by finding the common denominator. The least common denominator in this case is (x-4)(2x+1), i...
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Answered by Erin W. • Maths tutor
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A car costs £300. The price is then reduced by 20%. However, the shop increases the new price by 15%. Fadhila says, "20 - 15 = 5, so the original price of the car has been reduced 5%". Is she right? What is the final price of the car?

Fadhila is wrong. To work out price increases/decreases we need to multiply the original price by a decimal number. A reduce by 20% means multiplying by 0.8: we need to take away 20% of the original number. ...
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Answered by Emma T. • Maths tutor
5104 Views

Solve (x+2)/3x + (x-2)/2x = 3

In order to solve this equation we need to rearrange it to have all of the variables on one side of the equals sign and the constants on the other. We do this by multiplying each term by the denominator of o...
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Answered by Annabel Y. • Maths tutor
19950 Views