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8x + 32
Highest common factor of 8 and 32 is 8
8/8 = 132/8 = 4
8x + 32 - divide through by 8
8(x + 4)
We can check this by multiplying out:
8(x + 4) 8 * x = 8x 8 * 4 = ...

(2n+1)² = (2n+1)(2n+1)
Use FOIL method= 4n²+2n+2n+1= 4n²+4n+1= 4(4n+n)+1
4n+n is just a number, therefore proved

There are 4 different methods to solve quadratics: factorisation, quadratic formula, graphically and completing the square. Today we shall solve equations by factorisation.Using the equation x²...

rearrange line equation: x=10 + 2ysubstitute into circle equation: (10+2y)² + y²=20expand: 4y² +20y +20y + 100 + y²= 20 collect terms: 5y² + 40y +100...

First we need to use the rules of BIDMAS (brackets, indices, division, multiplication, addition, subtraction)So we must deal with the brackets of the function first(x-1)(x+2)To expand these brackets we us...