Question

factorise (m+2n)²+101(m+2n)+100​

Answer 1

Step-by-step explanation:

The value of (m + 2n + 1) (m + 2n + 100) = 0

Given:

(m + 2n) ^2+101 (m+2n) +100(m+2n)

2

+101(m+2n)+100

To find:

Factorise

Solution:

The given equation is (m + 2n) ^2+101(m + 2n) +100 ------ (1)(m+2n)

2

+101(m+2n)+100−−−−−−(1)

Let assume m + 2n=k ------ (2)

Substitute the equation (2) in (1)

(k)^2 + 101(k) +100=0

k^2 +101k + 100=0

k^2 + 100k + k +100=0

k (k + 100) + 1 (k + 100)=0

(k+1) (k+100)=0 --- (3)

Substitute the value of k in equation (3)

(m+2n+1)(m+2n+100)=0"

Answer 2

tequals to -1,-100

Step-by-step explanation:

let m+2n equals to t and factroise