1 - Algebraic Expressions Flashcards
1
Q
What is x^n × x^n
A
x^n × x^n = x^n+n
2
Q
What is x^n ÷ x^n
A
x^n ÷ x^n = x^n-n
3
Q
What is (x^n)^m
A
x^n×m = x^nm
4
Q
What is (xy)^n
A
X^n × y^n
5
Q
What is x^1/n
A
^n√x
6
Q
What is x^m/n
A
^n√x^m
7
Q
What is x^-n
A
1/x^n
8
Q
What is x^0
A
1 (all numbers to the power of 0 are 1)
9
Q
What is x^0
A
1 (all numbers to the power of 0 are 1)
10
Q
How do you rationalise 1/√x
A
Multiply by √x / √x
= √x/x
11
Q
How do you rationalise 1/y + √x
A
Multiply by y-√x / y-√x
=
y-√x / y^2 -√x
12
Q
What is the difference of two squares
A
if (x^2 - y^2)
then (x+y)(x-y)
13
Q
how do you factorise
ax^2 + bx + c
A
Find the value of ac
Find the factors of ac
rewrite B as the sum of ac’s factors
Then factorise the terms
Finally remove the common factor
