Simplify:
$(a^{2} + 5) (b^{3} + 3) + 5$

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Solution

$(a^{2} + 5) (b^{3} + 3) + 5$
$= a^{2} \times (b^{3} + 3) + 5 \times (b^{3} + 3) + 5$
$= a^{2} \times b^{3} + a^{2} \times 3 + 5 \times b^{3} + 5 \times 3 + 5$
$= a^{2} b^{3} + 3 a^{2} + 5 b^{3} + 15 + 5$
$= a^{2} b^{3} + 3 a^{2} + 5 b^{3} + 20$

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

(a2+5)(b3+3)+5 = a2 × (b3 + 3) + 5 × (b3 + 3) + 5 = a2 × b3 + a2 × 3 + 5 × b3 + 5 × 3 + 5 = a2b3 + 3a2 + 5b3 + 15 + 5 = a2b3 + 3a2 + 5b3 + 20

Simplify:
$(a^{2} + 5) (b^{3} + 3) + 5$

$(a^{2} + 5) (b^{3} + 3) + 5$
$= a^{2} \times (b^{3} + 3) + 5 \times (b^{3} + 3) + 5$
$= a^{2} \times b^{3} + a^{2} \times 3 + 5 \times b^{3} + 5 \times 3 + 5$
$= a^{2} b^{3} + 3 a^{2} + 5 b^{3} + 15 + 5$
$= a^{2} b^{3} + 3 a^{2} + 5 b^{3} + 20$