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

a^{2} b^{3} - 3 a^{3} + 5 b^{3} + 20

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a^{2} b^{2} + 3 a^{2} + b^{3} - 20

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a^{2} b^{3} + 3 a^{2} + 5 b^{3} + 20

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a^{2} b^{2} + 3 a^{2} + 5 b^{3} + 20

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Solution

The correct option is D $a^{2} b^{3} + 3 a^{2} + 5 b^{3} + 20$
$(a^{2} + 5) (b^{3} + 3) + 5$
$= a^{2} (b^{3} + 3) + 5 (b^{3} + 3) + 5$
$= a^{2} b^{3} + 3 a^{2} + 5 b^{3} + 15 + 5$
$= a^{2} b^{3} + 3 a^{2} + 5 b^{3} + 20$

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(3 a - 5 b)^{3} - (3 a + 5 b)^{3}

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

Simplify the following:

$(i) (1.5 x - 4 y) (1.5 x + 4 y + 3)$

$(i i) (x + y) (2 x + y) + (x + 2 y) (x - y)$

$(i i i) (a^{2} + 5) (b^{3} + 3) + 5$ [3 MARKS]

Q. Simplify:
(1) (x + y)³− (x − y)³
(2) (3a + 5b)³− (3a − 5b)³
(3) (a + b)³− a³− b³
(4) p³− (p + 1)³
(5) (3xy − 2ab)³ − (3xy + 2ab)³

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

The correct option is D a2b3+3a2+5b3+20(a2+5)(b3+3)+5=a2(b3+3)+5(b3+3)+5=a2b3+3a2+5b3+15+5=a2b3+3a2+5b3+20

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

The correct option is D $a^{2} b^{3} + 3 a^{2} + 5 b^{3} + 20$
$(a^{2} + 5) (b^{3} + 3) + 5$
$= a^{2} (b^{3} + 3) + 5 (b^{3} + 3) + 5$
$= a^{2} b^{3} + 3 a^{2} + 5 b^{3} + 15 + 5$
$= a^{2} b^{3} + 3 a^{2} + 5 b^{3} + 20$