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This is a standard integral of the type f'(x)*f(x)ⁿ. To find the solution, we trial d/dx(f(x)ⁿ⁺¹). d/dx(sin⁵(x)) = 5sin⁴(x)cos(x). this looks similar to the int...

7x + 8y = 32 (let this be equation [1])x - 4y = 8 (let this be equation [2])
Make x the subject in equation [2] => x = 8 +4y (let this be equation [3])Sub [3] into [1]
7x + 8y = 32 => 7(8 ...

(9 x 3) + (18 / 3)
BIDMASBracketsIndicesDivideMultiplyAddSubtract
Br...

To factorise a quadratic of this form find a pair of numbers which multiply to produce the last term and add to make the middle term.In this case 1x1 = 1 and 1+1=2 so a and b will be the same number.(x+1)...

This is a very common question for GCSE maths students and the idea of a quadratic comes up very often in other forms too.To factorise this equation we need to find two numbers whose sum is -5 and whose p...