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31 October, 15:08

Simplify the expression - 2 (p + 4) 2 - 3 + 5p. What is the simplified expression in standard form?

-2p2 - 11p - 35

2p2 + 21p + 29

-2p2 + 13p + 13

4p2 + 37p - 67

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  1. 31 October, 15:23
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    The answer is - 2p2 - 11p - 35

    -2 (p + 4) ² - 3 + 5p = - 2 (p² + 2·p·4 + 4²) - 3 + 5p =

    = - 2 (p² + 8p + 16) - 3 + 5p =

    = - 2·p² + - 2·8p + - 2·16 - 3 + 5p =

    = - 2p² - 16p - 32 - 3 + 5p =

    = - 2p² - 16p + 5p - 32 - 3 =

    = - 2p² - 11p - 35
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