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The first step is to expand the brackets by multiplication. This can be done using the 'bird method'. This results in 4m – 8 = 5mt + 3tNow to collect all 'm' like terms of the equation on the LHS. This gi...

Factorise the equation: (3x+3)(x+1) = 0. Anything multiplied by 0 is equal to 0 therefore (x+1)=0 and (3x+3) = 0. Solve for x: if x+1 =0 you need to subtract 1 from x to work out what x is (do the opposi...

1. Hugo = x Ayo = x + 7 (as he is 7 years old than Hugo's age) Mel = 2 multiplied by (x +7) as she is twice as old as Ayo2) If their ages combined equals 77, you add up all the algebraic equations and...

We differentiate each term individually with respect to x. the way we differentiate powers of x is: x^n goes to nx^(n-1). So x^2 would become 2x, 2x would be just 2 as x^0 is 1 and a constant would just d...

This question involves ratios; men : women = 7:2; women : children = 1:3. We need to find a common number to combine the two ratios together. If we multiply the women:children ratio by 2, the ratio become...