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Using the FOIL (Firsts, Outsides, Insides, Lasts) mnemonic, you can expand these two brackets. F: 4x x 7x = 28x^2 O: 4x x -2 = -8x I: 7 x 7x = 49x L: 7 x -2 = -14 Therefore the expansion as a whole is: 28...

1. expand the brackets X² + 6x - 5x - 30 2) collect like terms X² + x - 30

3x² + 2x + 4

Starting with ∫a^x dx ,
We can re-write a^x using logs as e^ln(a)*x using some of their properties
We use the substitution u = ln(a)*x (as such du/dx = ln(a)) all...

The difference in the ratio of Aidan's to Seth's sweets is 4-2=2 To find the scale factor to multiply up the ratio by, we divide the true difference in Aidan's and Seth's sweets by the difference in the r...