Question

calcule :
a) (3+x)²
b) (x+5)²
c) (x+y)²
d) (x+2)²
e) (3x+2)²
f) (2x+1)²
g) (5+3a)²
h) (2a+x)²

2-calcule :
a) ( r + 4s)
b) (10x+y)
me ajudemmm

Answer 1

a) (3 + x)² = 3² + 2.3x + x² = 9 + 6x + x²

b) (x+5)² = x² + 2.5x + 5² = x² + 10x + 25

c) (x+y)² = x² + 2xy + y²

d) (x+2)² = x² + 2.2x + 2² = x² + 4x + 4

e) (3x+2)² = (3x)² + 2.2.3x + 2² = 9x² + 12x + 4

f) (2x+1)² = (2x)² + 2.2x.1 + 1² = 4x² + 4x + 1

g) (5+3a)² = 5² + 2.5.3a  + (3a)² = 25 + 18a + 9a²

h) (2a + x)² =  (2a)² + 2.2a.x + x² = 4a² + 4ax + x²

2-calcule :
a) ( r + 4s)² = r² + 2.4s.r + (4s)² = r² + 8rs + 16s²

b) (10x+y)² = (10x)² + 2.10x.y + y² = 100x² + 20xy + y² 

c)(3y + 3a)² = (3y)² + 2.3y.3a + (3a)² = 9y² + 18ay + 9a²

d)( - 5 + n)² = ( - 5 + n). (- 5 + n) = 25 - 5n - 5n + n² = 25 - 10 + n²

e)( - 3x + 5)² = ( - 3x + 5). ( - 3x + 5) = 9x² - 15x - 15x + 25 = 9x² - 30x + 25

f)(a + ab)² = a² + 2.a.ab + (ab)² = a² + 2a²b + a²b²

g)(2x + xy)² = (2x)² + 2.2x.xy + (xy)² = 4x² + 4x²y + x²y²

h) (x + 0,5)² = x² + 2.0,5.x + (0,5)² = x² + x + 0,25

****************************************************************

a. (a² + 1)² = a⁴ + 2a² + 1

b. (y⁵ + 3)² = (y⁵)² + 2.3.y⁵ + 9 = y¹º + 6y⁵ + 9

c. (y⁵ + 1)² = y¹º + 2y⁵ + 1

d. (4x² + 7)² = (4x²)² + 2.7.4x² + 7² = 16x⁴ + 56x² + 49

e. (2x³ + 3y²)² = (2x³)² + 2.2x³.3y² + (3y²)² = 4x⁶ + 12x³y² + 9y⁴

f. (a² + b²)²  = a⁴ + 2a²b² + b⁴

g. (x + 2y³)² = x² + 2.x.2y³ + (2y³)² = x² + 4xy³ + 4y⁶

h. (mn + 4)² = m²n² + 2.4mn + 16 = m²n² + 8mn + 16

i. (xy + z³)² = (xy)² + 2.xy.z³ + (z³)² = x²y² + 2xyz³ + z⁶

j. (x²y + xy²)² = (x²y)² + 2.x²y.xy² + (xy²)² = x⁴y² + 2x³y³ + x²y⁴