Question
Simplify: $(a^2+ 5) (b^3+ 3) + 5$
✓
Answer
We have $(a^2+ 5) (b^3+ 3) + 5$
Opening the brackets we get,
$(a^2+ 5) (b^3+ 3) + 5 = a^2(b^3+ 3) + 5 (b^3+ 3) + 5$
$= a^2b^3+ 3a^2+ 5b^3+ 15 + 5$
$= a^2b^3+ 3a^2+ 5b^3+ 20$
Opening the brackets we get,
$(a^2+ 5) (b^3+ 3) + 5 = a^2(b^3+ 3) + 5 (b^3+ 3) + 5$
$= a^2b^3+ 3a^2+ 5b^3+ 15 + 5$
$= a^2b^3+ 3a^2+ 5b^3+ 20$
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