Question

1. Express the following as in the form of (a+b)(a-b)

i) A2

-64

ii)

2

-2xy + y2 – z

2.

2. Write all possible factors of -6ab and 15pq.

3. Find the common factors of 12x and 36.

4. Factorise 6xy-4y+6-9x.

5. (a+b)2=____

6. (a-b)

2= _____

7. Divide (5x2

-6x) by 3x.

8. Factorise:

i) y(y+z)+9(y+z)

ii) 10ab+4a+5b+2

iii) 6xy-4y+6-9x​

Answer 1

1)

i) a^2 - 8^2

(a+8)(a-8)

ii) 2-2xy+y^2-z

2)-6ab=-2a *3b

15pq=3p*5q

3) common factor is 4

4)6xy-4y+6-9x= 2y(3x-2) 3(2-3x)

=2y(3x-2) -3(-2+3x)

=(2y-3)(3x-2)

5)(a+b)^2= a^2+b^2+2ab

6)(a-b)^2=a^2+b^2-2ab

8)

i)(y+9)(y+z)

ii) 10ab+4a+5b+2=5b(2a+1)2(2a+1)

=(5b+2)(2a+1)

iii)6xy-4y+6-9x=2y(3x-2)-3(-2+3x)

=(2y-3)(3x-2)

HOPE IT HELPS..