Which equations are correct select each correct answer
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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.