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13.04.2020 •
Mathematics
Some help here please?
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Ответ:
a² + 4a + 4
Step-by-step explanation:
(a + 2)(a + 2)
= a(a + 2) +2(a + 2)
= a² + 2a + 2a + 4
= a² + 4a + 4
b² + 14b + 49
Step-by-step explanation:
(b + 7)(b + 7)
= b(b + 7) +7(b + 7)
= b² + 7b + 7b + 49
= b² + 14b + 49
c² - 6c + 9
Step-by-step explanation:
(c - 3)(c - 3)
= c(c - 3) -3(c - 3)
= c² - 3c - 3c + 9
= c² - 6c + 9
SHORTCUT: These are perfect squares. There is a formula for multiplying perfect squares: (a ± b)² = a² + 2ab + b²
(a + 2)² = a² + 2(a)(2) + (2)²
= a² + 4a + 4
(b + 7)² = b² + 2(b)(7) + (7)²
= b² + 14b + 49
(c - 3)² = c² + 2(c)(-3) + (-3)²
= c² - 6c + 9