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Snowcat [4.5K]
2 years ago
10

The expression (x2 + 16x + 64) – (x + 8)(x – 4) can be rewritten as k(x + 8). What is the value of k? k =

Mathematics
1 answer:
9966 [12]2 years ago
5 0

expanding \\  {x}^{2}  + 16x + 64 - ( {x}^{2}  + 4x - 32)  \\ distributing \:  - 1 \\  {x}^{2}  + 16x + 64 -  {x}^{2}  - 4x + 32 \\ 12x + 96 \\ take \: a \: factor \: of \: 12 \\ 12(x + 8) \\ so \: k = 12
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