Efectuați utilizând formulele de calcul:
a) (x+3)^,(2x-1)^,(3x-2)^,(y+5)^,(3y+4x)^
b) (3x-5y)^,(2a+3b)^,(4x-1)^,(x+1)^,(x-7y)^
c) (x+2)(x-2),(2x+3y)(2x-3y),(3x-7)(3x+7)
d) (4x+5)(4x-5),(y-5)(y+5),(x-3y)(x+3y)
d) (4x+5)(4x-5),(y-5)(y+5),(x-3y)(x+3y)
e) (2x-7)^,(x-4)(x+4),(4x+3)^,(3x-2y)^
Răspunsuri la întrebare
se aplica formulele de calcul prescurtat:
(a+b)=a²+2ab+b² ;(a-b)=a²-2ab+b² ; (a-b)(a+b)=a²-b²
a) (x+3)²=(x²+6x+9)
(2x-1)²=4x²-4x+1
(3x-2)²=9x²-12x+4
(y+5)²=y²+10y+25
,(3y+4x)²=9y²+24xy+16x²
b) (3x-5y)²=9x²-30xy+25y²
(2a+3b)²=4a²+12ab+9b²
(4x-1)²=14x²-8x+1
(x+1)²=x²+2x+1
(x-7y)²=x²-14xy+49y²
c) (x+2)(x-2)=x²-4
(2x+3y)(2x-3y)=4x²-9y²
(3x-7)(3x+7)=9x²-49
d) (4x+5)(4x-5)=14x²-25
(y-5)(y+5)=y²-25
(x-3y)(x+3y)=x²-9y²
e) (2x-7)²=4x²-28x+49
(x-4)(x+4)=x²-16
(4x+3)²=16x²+24x+9
(3x-2y)² =9x²-12xy+4y²
a) ( x + 3 ) ² = x² + 6 x + 9
( 2 x - 1) ² = 4 x ² - 4 x + 1
( 3 x - 2)² = 9 x² - 12 x + 4
( y + 5 )² = y² + 10 y + 25
( 3 y + 4 x) = ( 3 y )² + 2 × 3 y × 4 x + ( 4 x)² = 9 y² + 24 x y + 16 x²
b)
( 3 x - 5 y )² = 9 x² - 30 x y + 25 y²
( 2 a + 3 b ) ² = 4 a² + 12 a b + 9 b²
( 4 x - 1 ) ² = 16 x² - 8 x + 1
( x + 1 )² = x² + 2 x + 1
( x - 7 y )² = x² - 14 x y + 49 y²
c)
( x + 2 ) ( x - 2 ) = x² - 4
( 2 x + 3 y ) ( 2 x - 3 y ) = 4 x² - 9 y²
( 3 x - 7 ) ( 3 x + 7 ) = 9 x² - 49
d)
( 4 x + 5 ) ( 4 x - 5 ) = 16 x² - 25
( y - 5 ) ( y + 5 ) = y² - 25
( x - 3 y ) ( x + 3 y ) = x² - 9 y²
e)
( 2 x - 7 )²= 4 x² - 28 x + 49
( x + 4 ) ( x - 4 ) = x² - 16
( 4 x + 3 )² = 16 x ² + 24 x + 9
( 3 x - 2 y ) ² = 9 x² - 12 x y + 4 y²