Factorising

Question 1

x ^2 - a^2

Answer 1

(x - a)(x + a)

Question 2

x^3 - a^3

Answer 2

(x - a)(x^2 + ax + a^2)

Question 3

x^3 + a^3

Answer 3

(x + a)(x^2 - ax + a^2)

Question 4

discriminant

Answer 4

b^2 – 4ac

Question 5

quadratic formula

Answer 5

-b ± √(b2 - 4ac)]/2a

Question 6

complete the square

Answer 6

(x+b/2)^2 - (b/2)^2 + c

Question 7

angle and gradient formula

Answer 7

m = tan (θ)
θ = tan^-1 (m)

Question 8

distance formula

Answer 8

√(x2 - x1)^2 + (y2 - y1)^2

Question 9

gradient formula

Answer 9

y2 - y1/x2 - x1

Question 10

midpoint formula

Answer 10

(x2 + x1/2 , y1 + y2/2)