Factorise the following
x²-12x+32

( x − 4 ) ( x − 8 )   is the factorised form of the expression.

Step-by-step explanation:

x

2

−

12

x

+

32

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like  

a

x

2

+

b

x

+

c

, we need to think of 2 numbers such that:

N

1

⋅

N

2

=

a

⋅

c

=

1

⋅

32

=

32

AND

N

1

+

N

2

=

b

=

−

12

After trying out a few numbers we get:

N

1

=

−

8

and  

N

2

=

−

4

(

−

8

)

⋅

(

−

4

)

=

32

, and

(

−

8

)

+

(

−

4

)

=

−

12

x

2

−

12

x

+

32

=

x

2

−

8

x

−

4

x

+

32

=

x

(

x

−

8

)

−

4

(

x

−

8

)

(

x

−

8

)

is a common factor to each of the terms.

(

x

−

4

)

(

x

−

8

)

is the factorised form of the expression.

l.jnl.j/n.m,lm,

step-by-step explanation:

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632