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Firstly, you need factorise.a = 3 b = 13 c = 14Find 2 numbers which add to make b(13) and multiply to make ac(42). These numbers are 6 and 7You can now split up the x coefficient to: 3x^2 + 6x + 7x + 14. ...

To factorise an expression such as x ² - 8x + 15, you need to look for two numbers that add up to make -8 and multiply to give 15.
The only option in this case is -5 and -3
(-5)+(-3)=...

Remember that the equation of a line is y=mx+c and m is the gradient of the line. The gradient of a perpendicular line will be the negative reciprocal of m ( that just means it will be -1/m). You can then...

Firstly we need to remove one of the variables. We can use the fact that y has different signs to do this.
3x + 5y = -4 multiplied by 4 gives: 12x + 20y = -16
10x - 4y = -34 multiplied by 5 give...

Let u = cos xdu/dx = -sin xy = u⁴dy/du = 4u³dy/dx = dy/du * du/dx = (4u³ ) * (-sin x) = 4 cos ³ x * -sin x = -4 cos ^{3 <...}