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How do you multiply # (a^3 + a^2b^2) (b^4 + a^2)#?

1 Answer

Harish Chandra Rajpoot

Jul 28, 2018

#a^5+a^3b^4+a^4b^2+a^2b^6#

Explanation:

Given that

#(a^3+a^2b^2)(b^4+a^2)#

#=a^2(a+b^2)(a^2+b^4)#

#=a^2(a( a^2+b^4)+b^2(a^2+b^4))#

#=a^2(a^3+ab^4+a^2b^2+b^6)#

#=a^5+a^3b^4+a^4b^2+a^2b^6#

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