Find the HCF of $5 a^{2} b^{2}, 10 a b^{2}, 20 a b^{3}$ .

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Solution

We observe
$5 a^{2} b^{2} = 5 \times a^{2} \times b^{2}$ , $10 a b^{2} = 5 \times a \times b^{2} \times 2$ , $20 a b^{3} = 5 \times a \times b^{3} \times 2^{2}$ .
Therefore $H C F = 5 \times a \times b^{2}$ .

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By how much is $5 a^{2} b^{2} - 18 a b^{2} - 10 a^{2} b$ greater than $- 5 a^{2} + 6 a^{2} b - 7 a b$ ?

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