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Tatiana [17]
2 years ago
13

(a+4)² - 3² Factored out

Mathematics
1 answer:
uranmaximum [27]2 years ago
8 0

Answer:

a =  - 7

a =  - 1

Step-by-step explanation:

(a+4) {}^{2}  - 3 {}^{2}  \\ a {}^{2}  + 8a + 16 - 9 \\ a {}^{2}  + 8a + 7 \\ a {}^{2}  + a + 7a + 7 \\ a(a + 1) + 7(a + 1) \\ (a + 7)(a + 1) \\ a + 7 = 0 \:  \:  \:  \: or \:  \:  \:  \: a + 1 = 0 \\ a =  - 7 \:  \:  \:  \: \:  \:  \:  \:  or \:  \:  \: a =  - 1

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