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Algebra Factorization Exercises

The document contains a series of mathematical problems focused on factorization, including various algebraic expressions that need to be fully factored or grouped. It includes tasks that require factorization by grouping, regrouping, and specific instructions not to expand brackets. Each problem is numbered and assigned a point value, indicating the complexity or importance of the task.

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aryanaputcha
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81 views9 pages

Algebra Factorization Exercises

The document contains a series of mathematical problems focused on factorization, including various algebraic expressions that need to be fully factored or grouped. It includes tasks that require factorization by grouping, regrouping, and specific instructions not to expand brackets. Each problem is numbered and assigned a point value, indicating the complexity or importance of the task.

Uploaded by

aryanaputcha
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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1.

Factorise 9y-7y

(1)

2. Factorise fully 8x3+6x2

(1)

3 Factorise fully 9abc - 27bcd

(1)
4. Factorise fully 8ab + 12a'b- 24bc2

(2)

5. Factorise fully 15xyz+ 20xyz

(2)

6 Factorise fully 7ab2 4a b +9a5b

(2)
7 Factorise fully (x+ 5 +(x+ 5)
Do not attempt to expand brackets.

(2)

8 Factorise fully (y + 2)'- (y +2)


Do not attempt expand brackets.

(2)

9 Factorise fully 6( + 1 + 8(* + 1)³


Do not attempt to expand brackets.

(3)
10. Factorise fuly (+9)'+ (+9)°(2x 1)
Do not attempt to expand brackets.

(3)

11. Factorise fully (y + 2)* -(y +2)°(y 1)


Do not attempt to expand brackets.

(3)
()x+ xy +9x +9y
(i) 6xy - 4y + 6 -9x
(ii) 10ab + 6a + 5b +3

(iv) x+ x?+x+1
(v) a-y+ ay - a

(vi) x² - xy+ 5x- 5y


(vii) a(a + 3) - a -3
(viii) 3ax + 3ay - 2bx - 2by

(ix) x(x +y- z) - yz


(x) a - a²+ ab - ab2
2. Factor grouping the algebraicexpressions:
() 4xy - 7y + 12x -21
(i) 7ab 5a - 28b+ 20

(ii) 5xy - 2x - 5y + 2y
(iv) 6x - 15xz- 8yx + 20yz
(v) 4ax + 5bx - 12ay - 15by
3.Factorize by regrouping the terms:
()) 7ab - 21bc - 7ax + 21xc

(i) x²+ xy(y +1) +y°


(ii) ba - 2a(1-b) -4
(iv) x²- x(a +4b) + 4ab
(v) x -9- (x-9) + xy -9y
4. Factorize by grouping the following expressions:

() (p -4) - (p- 4) + 12 - 3p
(i) q (r - s )2 - p (s- )+3r -3s
() (2 +24)2 -7 (2 +2x) - y(«2 +2x) +7y
(iv) atx + a (2x - y) - a(2ay +z) -2z
(v) a- 2a?b +3ab- 6b3
(vi) a² + b - ab - a

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