$(18 \times 50) + (18 \times 9) = 18 \times ?$

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Solution

The correct option is C
59

Applying Distributive property of multiplication over addition to simplify:

$(18 \times 50) + (18 \times 9)$

= $18 \times (50 + 9) = 18 \times 59$

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$s i n^{2} \frac{π}{18} + s i n^{2} \frac{π}{9} + s i n^{2} \frac{7 π}{18} + s i n^{2} 4 \frac{π}{9} =$

Verify the following:

(i) $18 \times [9 + (- 7)] = 18 \times 9 + 18 \times (- 7)$

(ii) $(- 13) \times [(- 6) + (- 19)] = (- 13) \times (- 6) + (- 13) \times (- 19)$

Prove that: $s i n^{2} \frac{π}{18} + s i n^{2} \frac{π}{9} + s i n^{2} \frac{7 π}{18} + s i n^{2} \frac{4 π}{9} = 2$

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