Question

calculati folosind formule de calcul prescurtat
A=(a+1) la puterea 2
B=(a-1) la puterea 2
C=(2x+3y) la puterea 2
D=(3x-2) la puterea 2
E=(2x-5y)(2x+5y)
F=(2√3x-√2) la putere 2

Answer 1

A =a^2+2×a+1^2=a^2+2a+1
B=a^2-2×a+1^2=a^2-2a+1{(a-b)^2=a^2-2ab+b^2}
C=2^2×x^2+2×3y×2x+3^2×y^2=4x^2+12xy+9y^2{(a+b)^2=a^2+2ab+b^2}
D=3^2×x^2+2×3x×2+2^2=9x^2-12x+4
E=2^2×x^2-5^2×y^2=4x^2-25y^2{(a-b)(a+b)=a^2-b^2}
F=2^2×√3^2×x^2-2×2√3x×√3+√2^3=12x^2-4√6x+2