Simplify the following using distributive property.
$29 \times 64 + 18 \times 58$ .

2900

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2500

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3200

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3000

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Solution

The correct option is D $2900$
$29 \times 64 + 18 \times 58$
$= 29 \times 64 + 18 \times 58$
$= 29 \times 2 \times 2 \times 16 + 2 \times 9 \times 2 \times 29$
$= (29 \times 2 \times 2) (16 + 9) = 116 (25)$ , by distributive property
$= 2900$

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