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Please simplify with steps:

(4a+4)^2-4*a^2*4

(Im calculating the discriminent of a quadratic)

 Nov 1, 2015
 #1
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+5

Simplify the following:
(4 a+4)^2-4×4 a^2

-4×4  =  -16:
(4 a+4)^2+-16 a^2

(4 a+4) (4 a+4) = (4 a) (4 a) + (4 a) (4) + (4) (4 a) + (4) (4) = 16 a^2+16 a+16 a+16 = 16 a^2+32 a+16:
16 a^2+32 a+16-16 a^2

Grouping like terms, 16 a^2-16 a^2+32 a+16 = 32 a+(16 a^2-16 a^2)+16:
32 a+(16 a^2-16 a^2)+16

16 a^2-16 a^2 = 0:
32 a+16

Factor 16 out of 32 a+16:
Answer: | 
| 16 (2 a+1)          =32a + 16

 Nov 1, 2015

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