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Mathematics

Evaluate:

(3x - 2) (x + 5) for x = 2.

Algebraic Expressions

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Answer

(3x - 2) (x + 5)

= 3x (x + 5) - 2 (x + 5)

= 3x(1+1) + 15x - 2x - 10

= 3x2 + (15x - 2x) - 10

= 3x2 + 13x - 10

For x = 2

3 x 22 + 13 x 2 - 10

= 3 x 4 + 26 - 10

= 12 + 26 - 10

= 38 - 10

= 28

Hence, for x = 2, the value of (3x - 2) (x + 5) is 28.

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