Question

Упростите выражения (y-4)²-(y+2)*8= (k+7)²-14k-50= 15+(0.4+c)²-0.8c² -9c²+(3c+d)²-d²= (7b-t) (t+7b)+(7b+t)²= (11c+3)²-2c(5.5+33)= (m+8)²-(m-2n) (m+2n)= (n+15)²-n(n-19) = (6-5m) (5m+6)+(5m-4)²=

Answer 1

${y}^{2} - 8y + 16 - 8y - 16 = \\ {y}^{2} - 16y$
${k}^{2} + 14k + 49 - 14k - 50 = \\ {k}^{2} - 1$
$15 + {c}^{2} + 0.8c + 0.16 - 0.8 {c}^{2} = \\ 0.2 {c}^{2} + 0.8c + 15.16$
$- 9 {c}^{2} + {d}^{2} + 6cd + 9 {c}^{2} = \\ {d}^{2} + 6cd$
$49 {b}^{2} - {t}^{2} + {49b}^{2} + 14tb + {t}^{2} = \\ 98 {b}^{2} + 14tb$
$121 {c}^{2} + 66c + 9 - 11c - 66c = \\ 121 {c}^{2} + 55c + 9$
${m}^{2} + 16m + 64 - {m}^{2} + {4n}^{2} = \\ {4n}^{2} + 16m + 64$
${n}^{2} + 30n + 225 - {n}^{2} + 19n = \\ 49n + 225$
$36 - {25m}^{2} + {25m}^{2} - 40m + 16 = \\ 52 - 40m$

Answer 2

1. (y-4)²-(y+2)*8 = y² - 8y + 16 - 8y - 16 = y² - 16y
2. (k+7)²-14k-50 = k² + 14k + 49 - 14k - 50 = k² - 1
3. 15+(0.4+c)²-0.8c² -9c²+(3c+d)²-d² = 0.4² + 0.8c - 0.8c² - 9c² + 3²c + 2cd + d² - d² + 15 = -8.6c² + 2cd + 9.16
4. (7b-t) (t+7b)+(7b+t)² = 14b² + 2bt + t²
5. (11c+3)²-2c(5.5+33) = 121c² + 66c + 9 - 77c = 44c² + 66c + 9
6. (m+8)²-(m-2n) (m+2n) = m² + 16m + 64 - m² + 4n² = 16m + 4n² + 64
7. (n+15)²-n(n-19) = n² + 30n + 225 - n² + 19n = 49n + 225
8. (6-5m) (5m+6)+(5m-4)² = -25m² + 36m + 36 + 25m² - 40m + 16 = -4m + 52

Таким образом, упрощенные выражения имеют вид:

1. y² - 16y
2. k² - 1
3. -8.6c² + 2cd + 9.16
4. 14b² + 2bt + t²
5. 44c² + 66c + 9
6. 16m + 4n² + 64
7. 49n + 225
8. -4m + 52