Question

stosujac wzory skroconego mnozenia ,wykonaj potegowanie :

a . ( x +8 ) ^2

b . (x + 14 ) ^2

c . ( 2 y + 6 ) ^2

d . ( 3 x ^2 + 1 ) ^2

e . ( 8 x + y ^3) ^2

f . ( 2x ^2 + 3y^2 ) ^2

g . (3ab +2 )^2

h . ( 3 czwarte x ^2 + jedna druga y ) ^2

a . (x -2 ) ^2

b . (3 x -2 y )^2

c .(4xy -3 ) ^2

d . (-2 -x ) ^2

Answer 1

a)

 ( x +8 )²  =  x² + 2*8 x +8² = x² + 16x + 64

b )

(x + 14 )² = x² +2*14 x + 14² = x² + 28x +196

c .

( 2 y + 6 )² = (2y)² + 2 *2*6 y + 6² = 4y² + 24y +36

d .

 ( 3 x² + 1 )² = (3x²)² + 2*3 *x² +1 = 9x⁴ + 6x² + 1

e .

 ( 8 x + y³)² = 64 x² + 2 * 8x * y³ + y ⁶ = 64x² + 16xy³ + y⁶

f .

( 2x² + 3y²)² = (2x²)² + 2 * 2x² * 3y² + (3y²)² = 4x⁴ + 36x²y² + 9y⁴

g .

(3ab +2 )² = (3ab)² + 2*3ab * 2 + 2² = 9a²b² + 12ab +4

h .

 ( 3/4 x² + 1/2 y )² = (3/4x²)² + 2*3/4x² *1/2y  + (1/2y)² = 9/16x⁴ + 3/4x²y + 1/4 y²

a .

(x -2 )² = x² - 2*2x + 2² = x² -4x + 4

b .

(3 x -2 y )² = (3x)² - 2*3x *2y + (2y)² =9x² - 12xy + 4y²

c .

(4xy -3 )² = (4xy)² - 2 *4xy * 3 + 3² = 16x²y² -24xy +9

d .

(-2 - x )² = (-2)² - 2 (-2) x + x² = 4 +4x + x²