Question

factorise a) x^ 2 + 9x +20
b)x ^2-14x+13

c)p^2+2p-15
d)y^2-18+81
e)m^2-3m-70
f)7p^2+21q^2
g)a^4 -2a^2b^2 + b^4
h)y^2-7y+12 please answer this questions with steps i will mark it as a brainliest answer if u answer all the questions with steps please

Answer 1

Answer:

Step-by-step explanation:

By splitting the middle term

X^2 +9x+20

Multiply first and last term =20x^2

Factors of 20 are : 1,2,4,5etc

Here of we take 5&4 we will get 9 by adding both and get 20 by multiplying

So x^2 + 5x +4x +20

(X^2+5x)(4x+20)

Common term from first bracket x and from 2nd term 4

X(x+5) + 4 (x+5)

X+4 and x+5

Answer 2

a)x^2+(5+4)x+20

x^2+5x+4x+20

x(x+5)+4(x+5)

(x+5)(x+4)

b)x^2-14x+13

x^2-(13+1)x+13

x^2-13x-x+13

x(x-13)-1(x-13)

(x-13)(x-1)

c)p^2+2p-15

p^2+(5-3)p-15

p^2+5p-3p-15

p(p+5)-3(p+5)

(p+5)(p-3)

d)y^2-18y+81(you forgot to mention y)

y^2-(9+9)y+81

y^2-9y-9y+81

y(y-9)-9(y-9)

(y-9) (y-9)