Math formulas

Difference of two squares

$$a^2 - b^2 = (a + b)(a - b)$$

Formula for expanding a perfect square binomial

$(a + b)^2 = a^2 + 2ab + b^2$ and $(a - b)^2 = a^2 - 2ab + b^2$

Algebraic fractions (addition, multiplication and division)

Linear

ax + b = c > x = c-b/a

Quadratic formula

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ for equations of the form $ax^2 + bx + c = 0$

Hyperbola

y=a/x

Asymptotes

x = h, y = k

Rectangle area

A = lw

Square area

A = s squared

Triangle area

A = 0.5bh

Parallelogram area

A = bh

Trapezium area

A = 0.5 (a + b)h

Circle area

A = pi r squared

Circle circumference

C = 2 pi r

Rectangular prism and surface area

V = lwh

SA = 2(lw + lh + wh)

Cube volume and SA

V = s cubed

SA = 6s squared

Prism volume

V = bh

Cylinder V and SA

V = pi r squared h

SA = 2 pi r squared + 2 pi rh

Pyramid V Sa

V = 1/3bh

SA = depends on face

Cone v and sa

V = 1/3 pi r squared h

SA = pi r squared + pi rl

Sphere v and sa

V = 4/3 pi r cubed

SA = 4 pi r squared

2000mm cubed- cm cubed

2cm cubed

20cm squared - mm squared

2000mm squared