Korzystając ze wzorów skróconego mnożenia zapisz wyrażenie w postaci sumy algebraicznej 1. (x-3)^2 2.(2x+5)^2 3.(x-5)(x+5) 4.(2x+3)(2x-3) 5.(√2x+1)^2 6.(√3 x-2)^2

[latex](x-3)^2=x^2-6x+9\ (2x+5)^2=4x^2+20x+25\ (x-5)(x+5)=x^2-25\ (2x+3)(2x-3)=4x^2-9\ (sqrt{2}x+1)^2=2x^2+2sqrt{2}x+1\ (sqrt{3} x-2)^2=3x^2-4sqrt{3}x+4[/latex]

1.[latex] x^{2} -2*x*3+ 3^{2} = x^{2} -6x+9 [/latex] 2.[latex] 2x^{2} +2*2x*5+ 5^{2} = 4x^{2} +20x+25[/latex] 3.[latex] x^{2} - 5^{2} = x^{2} -25[/latex] 4.[latex] 2x^{2} + 3^{2} =2 x^{2} +9[/latex] 5.[latex] (sqrt{2} x)^{2} +2* sqrt{2x}*1+1 ^{2} =2x^{2}+2 sqrt{2} x+1[/latex] 6,[latex]( sqrt{3} x)^2} -2*2* sqrt{3} x+2 ^{2} =3 x^{2} -4 sqrt{3} x+4[/latex]