Do as directed. (i) Factorise: $${{x}^{2}}+\frac{1}{{{x}^{2}}}-3$$ (ii) Find the greatest common factors of $$14{{x}^{2}}{{y}^{3}},21{{x}^{3}}{{y}^{2}}$$ and $$35{{x}^{4}}{{y}^{5}}z$$. (iii) Divide $$z(5{{z}^{2}}-80)$$by $$5z(z+4)$$.

Question

TuteeHUB · Accepted Answer

(i) (ii) (iii) $$\left( x-\frac{1}{x}-1 \right)\left( x+\frac{1}{x}+1 \right)$$ $$7{{x}^{2}}{{y}^{2}}$$ $$z-2$$

TuteeHUB · Answer

(i) (ii) (iii) $$\left( x-\frac{1}{x} \right)\left( x-\frac{1}{x}-2 \right)$$ $$7x{{y}^{2}}$$ $$z-4$$

TuteeHUB · Answer

(i) (ii) (iii) $$\left( x+\frac{1}{x} \right)\left( x+\frac{1}{x}+2 \right)$$ $$7{{x}^{2}}y$$ $$z-4$$

TuteeHUB · Answer

(i) (ii) (iii) $$\left( x-\frac{1}{x}+1 \right)\left( x-\frac{1}{x}-1 \right)$$ $$7{{x}^{2}}{{y}^{2}}$$ $$z-4$$

1.	Do as directed. (i) Factorise: \[{{x}^{2}}+\frac{1}{{{x}^{2}}}-3\] (ii) Find the greatest common factors of \[14{{x}^{2}}{{y}^{3}},21{{x}^{3}}{{y}^{2}}\] and \[35{{x}^{4}}{{y}^{5}}z\]. (iii) Divide \[z(5{{z}^{2}}-80)\]by \[5z(z+4)\].
A.	(i) (ii) (iii) \[\left( x-\frac{1}{x} \right)\left( x-\frac{1}{x}-2 \right)\] \[7x{{y}^{2}}\] \[z-4\]
B.	(i) (ii) (iii) \[\left( x+\frac{1}{x} \right)\left( x+\frac{1}{x}+2 \right)\] \[7{{x}^{2}}y\] \[z-4\]
C.	(i) (ii) (iii) \[\left( x-\frac{1}{x}+1 \right)\left( x-\frac{1}{x}-1 \right)\] \[7{{x}^{2}}{{y}^{2}}\] \[z-4\]
D.	(i) (ii) (iii) \[\left( x-\frac{1}{x}-1 \right)\left( x+\frac{1}{x}+1 \right)\] \[7{{x}^{2}}{{y}^{2}}\] \[z-2\]
Answer» D. (i) (ii) (iii) \[\left( x-\frac{1}{x}-1 \right)\left( x+\frac{1}{x}+1 \right)\] \[7{{x}^{2}}{{y}^{2}}\] \[z-2\]

Do as directed. (i) Factorise: \[{{x}^{2}}+\frac{1}{{{x}^{2}}}-3\] (ii) Find the greatest common factors of \[14{{x}^{2}}{{y}^{3}},21{{x}^{3}}{{y}^{2}}\] and \[35{{x}^{4}}{{y}^{5}}z\]. (iii) Divide \[z(5{{z}^{2}}-80)\]by \[5z(z+4)\].

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