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Question

Find the product (2x+1)×(2x2+3y+4z).

A
4x3+6xy+8xz+2x2+3y+4z
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B
4x3+5x+8xz+2x2+3y+4z
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C
4x3+3xy+8xz+2x2+3y+4z
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D
none of these
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Solution

The correct option is A 4x3+6xy+8xz+2x2+3y+4z
(2x+1)(2x2+3y+4z)
(2x+1)×2x2+2x×3y+2x×4z
=2×2×x×x2+2×3×x×y+2×4×x×z+2x2+3y+4z
=4x3+6xy+8xz+2x2+3y+4z

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