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1. Square the brackets (3n+1)²= (3n+1)(3n+1) = 9n²+3n+3n+1 = 9n²+6n+1 (3n-1)²= (3n-1)(3n-1) = 9n²-3n-3n+1 = 9n²-6n+12. Write out the full equation (9n²+6n+1) - (9n²-6n+1) = 9n²+6n+1-9n²+6n-1 = 12n3. Ex...

There are two ways of solving the simultaneous equations. The easiest one is to write two equations beneath each other and then try to get either x or y values the same on both of them by multiplying the ...

(8/125)^-2/3We can write this as ((8/125)^1/3)^-2So cube rooting we then get (2/5)^-2Then if we get the inverse we get (5/2)^2And finally we square the answer to get 25/4

5 + 11 = 16352/16 = 2222 x 5 = 11022 x 11 = 242therefore the answer is 110 and 242

The sine rule states that for any scalene triangle ABC the following equation holds: BC/sin(A) = AC/sin(B) = AB/sin(C).[Draw a diagram.] By drawing the triangle and substituting ...