Chapter 2:Factorisation and Algebraic Fractions

Question 1

what is expansion

Answer 1

expansion of algebraic expressions is the product of multiplication of one or two expressions in brackets.

Question 2

Expand:6(3+4w)

Answer 2

18+24W

Question 3

Expand:3r(r-2s)

Answer 3

3rsquare-6rs

Question 4

-5b(a+3)

Answer 4

-5ab-15b

Question 5

-2y
—–(9y-3z+6x)
3

Answer 5

-6ycube + 2yz - 4xy

Question 6

Expand:(y+1)(y-3)

Answer 6

ysquare - 2y - 3

Question 7

expand:(4+3r)(2+r)

Answer 7

3rsquare + 10r + 8

Question 8

What is factorisation

Answer 8

factorisation is the process of determining the factors of an algebraic expressions or algebraic terms and when multiplied together will form the original expression.

Question 9

what is common factor

Answer 9

common factor is the factor of an algebra term that divides two or more other terms exactly.

Question 10

what is HCF(highest common factor)

Answer 10

HCF(highest common factor is the largest of thise common factors)

Question 11

list cmmon factor:6h,4gh

Answer 11

common factor for 6h and 4gh are 1,2,h and 2h

Question 12

Determine the HCF:6h,4gh

Answer 12

2h

Question 13

factorise:3x+15

Answer 13

HCF=3
Hence,3(x+5)

Question 14

examine:x(square) -4

Answer 14

(x+2)(x-2)

Question 15

factorise=b(square)-1

Answer 15

(b+1)(b-1)

Question 16

Factorise=9m(square)-100

Answer 16

(3m + 10)(3m - 10)

Question 17

factorise using cross multipication:x(square) -6x+9

Answer 17

Hence,x(square)-6x+9=(x-3)(x-3)