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

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Solution

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

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Formation of Algebraic Expressions

Standard VI Mathematics

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Question 3(ii) 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

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

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