Algebraic expression

Question 1

Index laws

Answer 1

a^m x a^n = a^(m+n)
a^m / a^n = a^(m-n)
(a^m)^n = a^mn
(ab)^n = (a^n)(b^n)

Question 2

(a+b)(ad-c+e)

Answer 2

(a^2)(d)-ac+ae
abd-bc+be
(a^2)(d)+abd-ac-bc+ae+be

Question 3

What is factorising?

Answer 3

Writing expressions as products of their factors

Question 4

Difference of two squares form

Answer 4

x^2-y^2=(x+y)(x-y)

Question 5

Negative and fractional index laws

Answer 5

a^1/m = mroot a
a^s/m = mroot a^s
a^-m = 1/a^m
a^0 = 1

Question 6

What are rational number

Answer 6

Can be expressed as a/b where both are integers

Question 7

Surds laws

Answer 7

root ab = root a x root b
root a/b = root a / root b

Question 8

How to rationalise 1/root a

Answer 8

Times by root a

Question 9

How to rationalise 1/a + root b

Answer 9

Times by a - root b