Question

(a + 2b)2 + 101(a + 2b) + 100​

Answer 1

Answer:

(a+2b)2+101(a+2b)+100

2a+4b+101a+202b+100

103a+206b+100

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Answer 2

Answer:

2a−b+1)(18a−9b−13)

Step-by-step explanation:

Given : (a+2b)  

2

+101(a+2b)+100

Let us consider a+2b=x

so we get,

=(x)  

2

+101x+100

we can further write it as  

=(x)  

2

+100x+x+100

By taking out the common terms

=x(x+100)+1(x+100)

=(x+1)(x+100)

Let us replace x by a+2b  

so we get

=((a+2b)+1)9(a+2b)+100)

=(a+2b+1)(a+2b+100)

Then,

=((2a−b)+1)(9(2a−b)−13)

(a+2b)  

2

+101(a+2b)+100=(2a−b+1)(18a−9b−13)