Question

which expression is equivalent to 7a2b 10a2b2 14a2b3? ab(7a2 10ab 14b2) a2b(7 10b 14b2) 7a2(b 3b2 7b3) 7a2b3(b2 3b 7)

Answer 1

option 2

Explanation:

Answer 2

option (2) is correct.

An equivalent fraction to the given expression
`7a^2b+10a^2b^2+14a^2b^3` is
`a^2b(7+10b+14b^2)`

Explanation:

Given : expression
`7a^2b+10a^2b^2+14a^2b^3`

We have to write an equivalent fraction to the given expression
`7a^2b+10a^2b^2+14a^2b^3`

Equivalent expressions are expression having same value but they look different and it can be obtained by taking out common factors from each term of expression. When we take product we get back the same expression.

Consider the given expression
`7a^2b+10a^2b^2+14a^2b^3`

Since, each term of given expression has
`a^2b` term common,

So taking it out , we are left with ,

`7a^2b+10a^2b^2+14a^2b^3=a^2b(7+10b+14b^2)`

Thus, option (2) is correct.

An equivalent fraction to the given expression
`7a^2b+10a^2b^2+14a^2b^3` is
`a^2b(7+10b+14b^2)`