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Formation of Algebraic Expressions

Question 3ii ...

Question

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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(a^{2} + 5) (b^{3} + 3) + 5

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

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

Q. Question 4(i)
Simplify:

(a^{2} - b^{2})^{2}

Q. Question 3(ii)
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\frac{4}{9} \div 5

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Formation of Algebraic Expressions

Standard VI Mathematics

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