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Expand and simplify the following equation: 3(2a+2) + 4(b+4)

This problem is best split into two parts either side of the '+' sign seen as they are independent of each other, so the first part: 3(2a+2), as the 3 is outside of the bracket we have to multiply everything...
JI
Answered by Joseph I. • Maths tutor
4485 Views

If we take a number and square it, the answer is also the product of the two numbers either side of it plus one. Prove algebraically that this works for all numbers.

First of all let's give some examples: 5^2=4x6+1 = 25 or 6^2 = 5x7+1 = 36. To prove it for every number let's call the number x (e.g. x was 5 and 6 in the cases above). Then the result we want to prove is x^...
MM
Answered by Miles M. • Maths tutor
3673 Views

The perimeter of an isosceles triangle is 16cm. One of the sides equals to x+3, while the unequal one equals to x+4. Calculate the area of this triangle.

Firstly, we know that it is an isosceles triangle, meaning that 2 of its sides are equal. In this case, the uneven side is given as x+4, so we can assume that the triangle has 3 sides: AB= X+3BC= X+3AC= X+4T...
SK
Answered by Stella K. • Maths tutor
3594 Views

Why do the denominators have to be equal when adding fractions, but not when multiplying them?

When adding fractions we need to make sure that we're adding numbers that are in the same proportion.Take for example 1/2 add 1/2, if we simply added the numerator and the denominator we would get 2/4 - whic...
JS
Answered by Jacob S. • Maths tutor
3370 Views

solve 2x^(2) + 9x +10 = 15

2x^(2) + 9x - 5=0(2x )(x )=0(2x 1)(x 5)=0(2x -1)(x+5)=02x-1=0 or x+5=02x=1 x= -5x= 1/2
KM
Answered by Katie M. • Maths tutor
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