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Sagot :

A=(2+x)^2-3(x+7)

=(2×2)+(2×x)+(x×x)+(x×2)-(3×x)-(3×7)

=4+2x+x^2+2x-3x-21

=-17+x+x^2

B=(4-x)(-3-2x)+(x+1)^2

=-(4×3)-(4×2x)+(x×3)+(x×2x) +(x×x)+(x×1)+(1×1)+(x×1)

=-12-8x+3x+2x^2+x^2+x+1+x

=-11-3x+3x^2

C=(1-x)(2+x)-3x^2+x-7

=(1×2)+(1×x)-(x×2)-(x×x)-3x^2+x-7

=2+x-2x-x^2-3x^2+x-7

=-5-4x^2

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

=(4×4)-(4×2x)+(2x×2x)-(2x×4)-(4×4)-(4×2x)-(2x×2x)-(2x×4)

=16-8x+4x^2-8x-16-8x-4x^2-8x

=-32x

E=(x+1)^2-(x+1)

=(x×x)+(x×1)+(1×1)+(1×x)-x-1

=x^2+x+1+x-x-1

=x^2+x

F=7-x+2(x-2)(x-1)

=7-x+(2×x)(x-1))-(2×2)(x-1))

=7-x+2x(x-1)-4(x-1)

=7-x+(2x×x)-(2x×1)-(4×x)+(4×1)

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

=11+2x^2-7x

Distributivité

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