Répondre :

K = (x - 6)(2x - 3) + (x - 1)(x + 2)

K = x × 2x - x × 3 - 6 × 2x + 6 × 3 + x × x + x × 2 - 1 × x - 1 × 2

K = 2x² - 3x - 12x + 18 + x² + 2x - x - 2

K = 2x² - 15x + 18 + x² + x - 2

K = 3x² - 14x + 16

L = (3x + 1)² - (x - 5)²

L = (3x + 1)(3x + 1) - (x - 5)(x - 5)

L = 3x × 3x + 3x × 1 + 1 × 3x + 1 × 1 - x × x + x × 5 + 5 × x - 5 × 5    

L = 9x² + 3x + 3x + 1 - x²+ 5x + 5x - 25

L = 9x² + 6x + 1 - x² + 10x - 25

L = 8x² + 16x - 24

M = (2x - 5)² + (x + 4)(x - 3)  

M = (2x - 5)(2x - 5) + (x + 4)(x - 3)

M = 2x × 2x - 2x × 5 - 5 × 2x + 5 × 5 + x × x - x × 3 + 4 × x - 4 × 3

M = 4x² - 10x - 10x + 25 + x² - 3x + 4x - 12

M = 4x² - 20x + 25 + x² + x - 12

M = 5x² - 19x + 13

N = x + 5 + 2(2x - 1)(x + 1)

N = x + 5 + 2(2x × x + 2x × 1 - 1 × x - 1 × 1)

N = x + 5 + 2(2x² + 2x - x - 1)

N = x + 5 + 2(2x² + x - 1)

N = x + 5 + 2 × 2x² + 2 × x - 2 × 1

N = x + 5 + 4x² + 2x - 2

N = 4x² + 3x + 3

P = (2x + 1)(2x - 1) -3(x - 5)²

P = (2x + 1)(2x - 1) -3(x - 5)(x - 5)

P = 2x × 2x - 2x × 1 + 1 × 2x - 1 × 1 - 3(x × x - 5 × x - 5 × x + 5 × 5)

P = 4x² - 2x + 2x - 1 - 3(x² - 5x - 5x + 25)

P = 4x² - 1 - 3(x² - 10x + 25)

P = 4x² - 1 - 3 × x² + 3 × 10x - 3 × 25

P = 4x² - 1 - 3x² + 30x - 75

P = x² + 30x - 76

Q = 5(3x - 1)(2x + 3) - 3(2x + 3)(5 - 3x) + 4(2x + 3)

Q = 5(3x × 2x + 3x × 3 - 1 × 2x - 1 × 3) - 3(2x × 5 - 2x × 3x + 3 × 5 - 3 × 3x) + 4(2x + 3)

Q = 5(6x² + 9x - 2x - 3) - 3(10x - 6x² + 15 - 9x) + 4(2x + 3)

Q = 5(6x² + 7x - 3) - 3(-6x² + x + 15) + 4(2x + 3)

Q = 5 × 6x² + 5 × 7x - 5 × 3 + 3 × 6x² - 3 × x - 3 × 15 + 4 × 2x + 4 × 3

Q = 30x² + 35x - 15 + 18x² - 3x - 45 + 8x + 12

Q = 48x² + 40x - 48

R = (2x + 3)² - 2(x - 5)² + 6x - 4 -2(x + 7)

R = (2x + 3)(2x + 3) - 2(x - 5)(x - 5) + 6x - 4 -2 (x + 7)

R = 2x × 2x + 2x × 3 + 3 × 2x + 3 × 3 - 2(x × x - x × 5 - 5 × x + 5 × 5) + 6x - 4 - 2(x + 7)

R = 4x² + 6x + 6x + 9 - 2(x² - 5x - 5x + 25) + 6x - 4 - 2(x + 7)

R = 4x² + 12x + 9 - 2(x² - 10x + 25) + 6x - 4 - 2(x + 7)

R = 4x² + 12x + 9 - 2 × x² + 2 × 10x - 2 × 25 + 6x - 4 - 2 × x - 2 × 7

R = 4x² + 12x + 9 - 2x² + 20x - 50 + 6x - 4 - 2x - 14

R = 2x² + 36x - 59

S = (3x + 5)(x - 5) + 7x - 8 - 2(7 + x)(3 - x)

S = 3x × x - 3x × 5 + 5 × x - 5 × 5 + 7x - 8 - 2(7 × 3 - 7 × x + x × 3 - x × x)

S = 3x² - 15x + 5x - 25 + 7x - 8 - 2(21 - 7x + 3x - x²)

S = 3x² - 10x - 25 + 7x - 8 - 2(-x² - 4x + 21)

S = 3x² - 10x - 25 + 7x - 8 + 2 × x² + 2 × 4x - 2 × 21

S = 3x² - 10x - 25 + 7x - 8 + 2x² + 8x - 42

S = 5x² + 5x - 75