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Factorising Quadratics
Contributed by: Adam Mlynarczyk
Please use the formula for difference of two squares:
                     a2-b2=(a+b)(a-b)
Factorise:
y2-x2=
(   +   )(    -   )
y
Please notice that 9-p2 can be written as 32-p2 Then use the formula for difference of two squares:
                  a2-b2=(a+b)(a-b)
Factorise:
9-p2=
(   +   )(    -   )
3
1-16x2=
Please notice that 1-16x2 can be written as 12-(4x)2 Then use the formula for difference of two squares:
                  a2-b2=(a+b)(a-b)
Factorise:
(   +   )(    -   )
1
25-m2=
Please notice that 25-m2 can be written as 52-m2 Then use the formula for difference of two squares:
                  a2-b2=(a+b)(a-b)
Factorise:
(   +   )(    -   )
5
4x2-y2=
Please notice that 4x2-y2 can be written as (2x)2-y2 Then use the formula for difference of two squares:
                  a2-b2=(a+b)(a-b)
Factorise:
(   +   )(    -   )
2x
25-m2=
Please notice that 25-m2 can be written as 52-m2 Then use the formula for difference of two squares:
                  a2-b2=(a+b)(a-b)
Factorise:
(   +   )(    -   )
5
16-4x2=
Please notice that 16-4x2 can be written as 42-(2x)2 Then use the formula for difference of two squares:
                  a2-b2=(a+b)(a-b)
Factorise:
(   +   )(    -   )
4
1-16p2=
Please notice that 1-16p2 can be written as 12-(4p)2 Then use the formula for difference of two squares:
                  a2-b2=(a+b)(a-b)
Factorise:
(   +   )(    -   )
1
Please notice that 4-y2 can be written as 22-y2 Then use the formula for difference of two squares:
                  a2-b2=(a+b)(a-b)
Factorise:
4-y2=
(   +   )(    -   )
2
x2-100=
Please notice that x2-100 can be written as x2-102 Then use the formula for difference of two squares:
                  a2-b2=(a+b)(a-b)
Factorise:
(   +   )(    -   )
x
p2-25=
Please notice that p2-25 can be written as p2-52 Then use the formula for difference of two squares:
                  a2-b2=(a+b)(a-b)
Factorise:
(   +   )(    -   )
p
Please use the formula for difference of two squares:
                     a2-b2=(a+b)(a-b)
Factorise:
m2-x2=
(   +   )(    -   )
m
Please notice that 16m2-y2 can be written as (4m)2-y2 Then use the formula for difference of two squares:
                  a2-b2=(a+b)(a-b)
16m2-y2=
Factorise:
(    +   )(    -   )
4m
36-16x2=
Please notice that 36-16x2 can be written as 62-(4x)2 Then use the formula for difference of two squares:
                  a2-b2=(a+b)(a-b)
Factorise:
(   +   )(    -   )
6
Please notice that 4-p2 can be written as 42-p2 Then use the formula for difference of two squares:
                  a2-b2=(a+b)(a-b)
Factorise:
4-p2=
(   +   )(    -   )
2
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