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Obliczenia
[tex](x+12)^2=x^2+2\cdot x\cdot12+12^2=\boxed{x^2+24x+144}\\\\(2x+4)^2=(2x)^2+2\cdot2x\cdot4+4^2=\boxed{4x^2+16x+16}\\\\(x-9)(x+9)=x^2-9^2=\boxed{x^2-81}\\\\(6x-2)^2=(6x)^2-2\cdot6x\cdot2+2^2=\boxed{36x^2-24x+4}\\\\(0,25x+8)^2=(0,25x)^2+2\cdot0,25x\cdot8+8^2=\boxed{0,0625x^2+4x+64}\\\\(1+\sqrt3)(1-\sqrt3)=1^2-(\sqrt3)^2=1-3=\boxed{-2}[/tex]
Wykorzystane wzory
[tex](a+b)^2=a^2+2ab+b^2\\\\(a-b)^2=a^2-2ab+b^2\\\\(a+b)(a-b)=a^2-b^2[/tex]
