Question

B) Factorise fully 2ab² +8a²b

Answer 1

`2ab(b+4a)`

Explanation:

Given expression:

`2ab^2+8a^2b`

Rewrite b² as b · b:

`\implies 2abb+8a^2b`

Rewrite a² as a · a:

`\implies 2abb+8aab`

Rewrite 8 as 2 · 4:

`\implies 2abb+2 \cdot 4aab`

Rearrange:

`\implies 2abb+2ab4a`

Factor out the common term 2ab:

`\implies 2ab(b+4a)`