ambilirajeev4
ambilirajeev4 ambilirajeev4
  • 24-02-2021
  • Mathematics
contestada

factorise 3ab²+15a²b³+21a³b²​

Respuesta :

erinna erinna
  • 01-03-2021

Given:

The expression is

[tex]3ab^2+15a^2b^3+21a^3b^2[/tex]

To find:

The factor form of the given expression.

Solution:

We have,

[tex]3ab^2+15a^2b^3+21a^3b^2[/tex]

Taking out the common factors, we get

[tex]3ab^2(1+5ab+7a^2)[/tex]

It is clear that [tex](1+5ab+7a^2)[/tex] cannot be factories further.

Therefore, the factorized form of the given expression is [tex]3ab^2(1+5ab+7a^2)[/tex].

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