Question

układy równań ( gimnazjum )

(3x - 2y)^2 =

(2a + 5b)^2 =

(6x-9) (6x+9) =

(2x + y)^2 + ( x +3 ) ( x - 3 ) =

(7x - 2)^2 - (x+4)^2 =

(2x + 4y)^2 =

(3a - 2b)^2=

(7x-8) ( 7x+8) =

(x + 2y)^2 + (x+5) ( x-5) =

(2x-7)^2 - (x + 5)^2 =

Answer 1

(3x - 2y)^2 = 9x²-12xy+4y²

 

(2a + 5b)^2 =4a²+20ab+25b²

 

(6x-9) (6x+9)=12x-9+9=12x

 

(2x + y)^2+( x +3 )( x - 3 ) =4x²+4xy+y²+(x+3)(x-3)=4x²+4xy+y²+x²-9=5x²+4xy+y²-9

 

(7x - 2)^2 - (x+4)^2=49x²-28x+4-(x+4)²=49x²-28x+4-(x²+8x+16)=49x²-28x+4-x²-8x-16=48x²-28x+4-8x-16=48x²-36x+4-16=48x²-36x-12

 

(2x + 4y)^2 =4x²+16xy+16y²

 

(3a - 2b)^2=9a²-12ab+4b²

 

(7x-8) ( 7x+8)=14x-8+8=14x

 

(x + 2y)^2 + (x+5) ( x-5)=x²+4xy+4y²+(x+5)(x-5)=x²+4xy+4y²+2x+5-5=x²+4xy+4y²+2x

 

(2x-7)^2 - (x + 5)^2=4x²-28x+49-(x+5)²=4x²-28x+49-(x²+10x+25)=4x²-28x+49-x²-10x-25=3x²-28x+49-10x-25=3x²-38x+49-25=3x²-38x+24