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using the method, what two numbers multiply to create -1 and add to make 0 -1 must be 1 x -1 therefore answer is (x+1)(x-1) - is it clear how the single x value is cancelled out? x^2 +x -1 -x = x^2 -1

AB² = (1 - 7)² + (6 + 2)² = 36 + 64 = 100 If AB² = 100 then AB = 10

3x²+11x-4=0 #Factorise to find where the curve crosses the x axis (3x-1)(x+4)=0 #Each bracket equals 0 x=1/3, -4  #Integrate the curve between these two points to find the area enclosed in the ...

Solving by elimination

1. multiply the equations by a number so that the number in front of either x or y is the same for both equations:

3x + 4y = 10 (X2) --> 6x ...

The first thing to do in this problem is to expand the brackets. This means we times whatever is in the bracket by the number on the outside, in this instance the number is 3. We do not worry about the ri...