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Expansion of (a ± b ± c)²

Using x + a...

Question

Using $(x + a) (x + b) = x^{2} + (a + b) x + a b$ , find $5.1 \times 5.2$

26.52

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25.25

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26.62

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27.28

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Solution

The correct option is C $26.52$
$5.1 \times 5.2$
$= (5 + 0.1) (5 + 0.2)$
Using,
$(x + a) (x + b) = x^{2} + (a + b) x + a b$ we get,
$5^{2} + (0.1 + 0.2) 5 + 0.1 \times 0.2$
$= 25 + 1.5 + 0.2$
$= 26.52$

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