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Bài tập Toán cơ bản số 46

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Created by T. Madas

SIMPLIFYING
EXPRESSIONS

Created by T. Madas


Created by T. Madas
Question 4
Simplify fully each of the following expressions.

a) 4 ( 2 x − 1) − 3 ( 2 x − 7 ) =
b) 2 ( 3x − 2 ) − 2 ( 2 x − 1) =
c) 2 x − 4 ( 2 x − 1) − ( 4 − 5 x ) =
d) 6 − 3 ( 2 x + 3) − ( 7 − 2 x ) =
e) 5 ( 2 x + 3) − 2 ( 2 x + 3) =

Question 5
Simplify fully each of the following expressions.

a) 4 ( 2 x − 3) − 2 ( 3x − 8 ) =
b) 5 ( 3x − 3) − 3 ( 5 x − 7 )
c) 9 x − 2 ( 3x − 4 ) − ( 7 − x ) =
d) 8 − 2 ( 7 x + 1) − ( 3 − 5 x ) =
e) 7 ( 2 x − 5 ) − 5 ( 5 − 2 x ) =

Created by T. Madas


Created by T. Madas


Question 6
Simplify fully each of the following expressions.

(

)

a) 4 x ( x − 2 ) − 2 x 2 + 3 x − 1 =
b) 4 x ( 3 − x ) − 2 x ( x − 2 ) =
c) 2 x ( 3x − 7 ) − 4 x − x ( 2 − 5 x ) =

(

)

d) 4 x ( 3x − 2 ) − 10 − 4 x − 5 x 2 =

(

)

e) 4 2 x 2 − 3 − x ( 3 − x ) =

Question 7
Simplify fully each of the following expressions.

(

)


a) 3x ( x − 3) − 2 x 2 − 3x + 1 =

(

)

b) 7 x ( 3 − x ) − 2 4 − 2 x 2 =
c) 6 x ( 2 x − 5) + 9 x − 7 x ( 2 + x ) =

(

)

d) 2 x ( 2 − 5 x ) − 1 − 4 x − 11x 2 =

e)

( 2 x + 3)( 3x − 2 ) − 2 x ( 3 + 4 x ) − (1 − 2 x − 2 x 2 ) =

Created by T. Madas


Created by T. Madas
Question 8
Simplify fully each of the following expressions.

(

)


(

)

(

)

a) 4 x 2 − 3x − ( x + 1)( x + 4 ) =
b) 2 3x 2 − 5 − ( x + 2 )( x − 3) =
c) 4 2 x 2 − 3 − ( x − 4 )( x + 5) =
d) 2 x ( 4 − 3x ) − ( 2 x − 1)(1 − 3x ) =
e) 6 x − x ( 2 − x ) − 2 ( x − 1)( x + 2 ) =

Question 9
Expand the brackets and simplify fully each of the following expressions.

a)

( x + 3)( x + 1)( x + 1)

b)

( x − 2 )( x − 5 )( x + 1)

c)

( x − 2 )( x − 3)( x + 4 )

d)


( x − 3)( x + 2 )( x + 4 )

e)

( x + 1)( x + 2 )( x − 1)( x − 3)

Created by T. Madas



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