Respuesta :

Answer:

The answer to your question is below

Step-by-step 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

Step-by-step explanation:

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

Option (1) :

[tex]-6y^4(4y^2+2)[/tex]

Using the identity, [tex]x^a\times x^b=x^{a+b}[/tex]

[tex]-6y^4(4y^2+2)=-24y^6-12y^4[/tex]

The given option is wrong

Option (2) :

[tex]-4x^2(2x^2+5)[/tex]

Using the identity, [tex]x^a\times x^b=x^{a+b}[/tex]

[tex]-4x^2(2x^2+5)=-8x^4-20x^2[/tex]

It is correct option.

Option (3) :

[tex]-4b^3(5b^2+3)[/tex]

Using the identity, [tex]x^a\times x^b=x^{a+b}[/tex]

[tex]-4b^3(5b^2+3)=-20b^5-12b^3[/tex]

It is wrong option.

Option (4) :

[tex]-4b^3(5b^2+3)[/tex]

Using the identity, [tex]x^a\times x^b=x^{a+b}[/tex]

[tex]-5a^4(2a^2+4)=-10a^4-20a^4[/tex]

It is correct option.

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