Question

Which equations are correct select each correct answer

Answer 1

The answer to your question is below

Explanation:

a) -6y4 (4y2 + 2) = -24y6 -12y4 this equation is wrong

b) -4x2 (2x2 + 5) = -8x4 -20x2 this equation is right

c) -4b3 ( 5b2 + 3) = -20b5 - 12b3 this equation is wrong

d) -5a4 ( 2a2 + 4) = -10a6 - 20a4 this equation is correct

Answer 2

Explanation:

We need to find the correct statement out of given options.

Option (1) :

`-6y^4(4y^2+2)`

Using the identity,
`x^a* x^b=x^(a+b)`

`-6y^4(4y^2+2)=-24y^6-12y^4`

The given option is wrong

Option (2) :

`-4x^2(2x^2+5)`

Using the identity,
`x^a* x^b=x^(a+b)`

`-4x^2(2x^2+5)=-8x^4-20x^2`

It is correct option.

Option (3) :

`-4b^3(5b^2+3)`

Using the identity,
`x^a* x^b=x^(a+b)`

`-4b^3(5b^2+3)=-20b^5-12b^3`

It is wrong option.

Option (4) :

`-4b^3(5b^2+3)`

Using the identity,
`x^a* x^b=x^(a+b)`

`-5a^4(2a^2+4)=-10a^4-20a^4`

It is correct option.