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

Solution:

The given expression is

-2(p + 4)2 - 3 + 5p

Using the algebraic identity (a + b)2 = a2 + b2 + 2ab

= - 2 (p2 + 16 + 8p) - 3 + 5p

By further simplification

= -2p2 - 32 - 16p - 3 + 5p

= -2p2 - 16p + 5p - 32 - 3

So we get

= -2p2 - 11p - 35

Therefore, the simplified expression in standard form is -2p2 - 11p - 35.

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

Summary:

By simplifying -2(p + 4)2 - 3 + 5p, the expression in standard form is -2p2 - 11p - 35.

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