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[3 marks sum]

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Question 243 Marks
If $\left(3 c-\frac{1}{3 c}\right)=8$, find the value of $\left(9 c^2+\frac{1}{9 c^2}\right)$.
Answer
66
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Question 253 Marks
Find the product : $\left(\frac{2}{5}+x\right)\left(\frac{2}{5}-x\right)\left(\frac{4}{25}+x^2\right)$
Answer
$\frac{16}{625}-x^4$
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Question 293 Marks
Find the product : $\left(a b-\frac{3}{2} c d\right)(2 a b+3 c d)$
Answer
$2 a^2 b^2-\frac{9}{2} c^2 d^2$
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Question 343 Marks
Find the product : $\left(\frac{1}{3 x}+\frac{2}{5 y}\right)\left(\frac{1}{3 x}-\frac{2}{5 y}\right)$
Answer
$\frac{1}{9 x^2}-\frac{4}{25 y^2}$
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Question 353 Marks
Find the product : $\left(\frac{1}{a}-\frac{1}{b}\right)\left(\frac{1}{a}+\frac{1}{b}\right)$
Answer
$\frac{1}{a^2}-\frac{1}{b^2}$
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Question 363 Marks
Find the product : $\left(\frac{2}{x}+\frac{3}{y}\right)\left(\frac{2}{x}-\frac{3}{y}\right)$
Answer
$\frac{4}{x^2}-\frac{9}{y^2}$
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Question 373 Marks
Find the product : $\left(\frac{t}{2}-\frac{1}{3}\right)\left(\frac{t}{2}+\frac{1}{3}\right)$
Answer
$\frac{t^2}{4}-\frac{1}{9}$
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Question 383 Marks
Find the product : $\left(\frac{a}{3}-\frac{b}{4}\right)\left(\frac{a}{3}+\frac{b}{4}\right)$
Answer
$\frac{a^2}{9}-\frac{b^2}{16}$
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Question 473 Marks
Find the product : $\left(\frac{3}{4} x-2 p q\right)\left(3 x-\frac{4}{5} p q\right)$
Answer
$\frac{9}{4} x^2-\frac{33}{5} p q x+\frac{8}{5} p^2 q^2$
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Question 483 Marks
Find the product : $\left(\frac{4 m}{p}-\frac{0.2 n}{q}\right)\left(\frac{3 m}{p}+\frac{0.5 n}{q}\right)$
Answer
$12 \frac{m^2}{p^2}+1.4 \frac{m n}{p q}-0.1 \frac{n^2}{q^2}$
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[3 marks sum] - MATHS STD 8 Questions - Vidyadip