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(x-4x³) = x(1-4x²)  Just taking a factor of x out of both terms Within the inner bracket we have a difference of two squares. 1²=1 and (2x)²=4x² ther...

x=((y+2)/3)^1/2

First we will need to factorise the equation.

Start with the 3x^2 term and notice 3 is prime so must have 3x and x terms.

(3x - 9) (x + 1) or  (3x + 3) (x - 3)

Setting the brackets to...

4x + 7y = 1 1. 3x + 10y = 15  2. 1. x 3 (4x x 3) + (7y x 3) = 1 x 3                       12x + 21y = 3  3. 2. x 4  (3x x 4) + (10y x 4) = 15 x 4                         12x + 40y = 60  4. 4. - 3.  (12x -...

1st multiply out the brackets:

y = 4x + 8 / 5x - 1

Next multiply both sides by the denominator onf the RHS:

y(5x-1)  = 4x + 8

Again, multiply out the brackets:

5xy - y =...