Question

Раскройте скобки "Квадрат суммы" №1 1) (3+х)² 2) (5+9)² 3) (1/2+у)² 4) (4х+1)² 5) (3х+2)² 6) (8х+1)² 7) (х+3а)² 8) (5+3х)² №2 "Квадрат разности" 1) (2-х)² 2) (3-х)² 3) (х-4)² 4) (х×1/2)² 5) (3-5)² 6) (х-у) ² 7) (10-у)² 8) (у-1/4)² 9) (3у-1)²

Answer 1

Объяснение:

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Answer 2

№1 "Квадрат суммы":

1. (3+x)² = (3+x)(3+x) = 9 + 3x + 3x + x² = 9 + 6x + x²
2. (5+9)² = (14)² = 196
3. (1/2+y)² = (1/2+y)(1/2+y) = 1/4 + 1/2y + 1/2y + y² = 1/4 + y + y + y² = y² + 2y + 1/4
4. (4x+1)² = (4x+1)(4x+1) = 16x² + 4x + 4x + 1 = 16x² + 8x + 1
5. (3x+2)² = (3x+2)(3x+2) = 9x² + 6x + 6x + 4 = 9x² + 12x + 4
6. (8x+1)² = (8x+1)(8x+1) = 64x² + 8x + 8x + 1 = 64x² + 16x + 1
7. (x+3a)² = (x+3a)(x+3a) = x² + 3ax + 3ax + 9a² = x² + 6ax + 9a²
8. (5+3x)² = (5+3x)(5+3x) = 25 + 15x + 15x + 9x² = 25 + 30x + 9x²

№2 "Квадрат разности":

1. (2-x)² = (2-x)(2-x) = 4 - 2x - 2x + x² = 4 - 4x + x²
2. (3-x)² = (3-x)(3-x) = 9 - 3x - 3x + x² = 9 - 6x + x²
3. (x-4)² = (x-4)(x-4) = x² - 4x - 4x + 16 = x² - 8x + 16
4. (x×1/2)² = (x/2)² = x²/4
5. (3-5)² = (-2)² = 4
6. (x-y)² = (x-y)(x-y) = x² - xy - xy + y² = x² - 2xy + y²
7. (10-y)² = (10-y)(10-y) = 100 - 10y - 10y + y² = 100 - 20y + y²
8. (y-1/4)² = (y-1/4)(y-1/4) = y² - (1/4)y - (1/4)y + (1/16) = y² - (1/2)y + (1/16)
9. (3y-1)² = (3y-1)(3y-1) = 9y² - 3y - 3y + 1 = 9y² - 6y + 1