carcvalhob1740 carcvalhob1740
  • 23-03-2021
  • Mathematics
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Consider the expression 9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2 select the equivalent expression in standerd form

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MrRoyal
MrRoyal MrRoyal
  • 25-03-2021

Answer:

[tex]27a^6b^8 + 63a^5b^8 - 25a^8b^8[/tex]

Step-by-step explanation:

Given

[tex]9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2[/tex]

Required

Simplify

[tex]9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2[/tex]

Open both brackets

[tex]9a^3b^6*3a^3b^2+9a^3b^6*7a^2b^2-5a^4b^4*5a^4b^4[/tex]

This gives

[tex]27a^6b^8 + 63a^5b^8 - 25a^8b^8[/tex]

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