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Question

Simplify: (a2+5)(b3+3)+5


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Solution

Step 1: Expand (a2+5)(b3+3)using distributive property

Given: (a2+5)(b3+3)+5

xy+z=xy+xz

(a2+5)(b3+3)=a2×(b3+3)+5×(b3+3)=(a2×b3)+(a2×3)+(5×b3)+(5×3)=a2b3+3a2+5b3+15

Step2: Find the expanded form of given expression

Now consider

(a2+5)(b3+3)+5

=a2b3+3a2+5b3+15+5

=a2b3+3a2+5b3+20

Hence, (a2+5)(b3+3)+5=a2b3+5b3+2a2+20


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