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MissNoName
a fost răspuns

Va rog ajutati-ma
a) (x-3)(x+2)^2-x+3
b) (x-4)(2x+1)^2-x+4
c) (x+7)^2-25
d) (x-6)^2-9x^2

Răspuns :

Maverickarcher

a) (x-3)(x²+4x+4)-x+3=x^3 +x²-9x-9
b) (x-4)(4x²+4x+1)-x+4=4x^3 -12x²-16x=4x(x²-3x-4)
c) x²+14x+49-25=x²+14x+24
d) x²-12x+36-9x²=-8x²-12x+36=4(-2x²-3x+9)
a)

(x-3)(x+2)²-x+3

x³+4x²+4x-3x²-12x-12-x+3

x³+(4x²-3x²)+(4x-12x-x)+(-12+3)

x³+x²-9x-9

b)

(x-4)(2x+1)²-x+4

4x³+4x²+x-16x²-16x-4-x+4

4x³+(4x²-16x²)+(x-16x-x)+(-4+4)

4x³-12x²-16x

c)

(x+7)²-25

(x+7)²-5²

(x+7-5)(x+7+5)

(x+2)(x+12)

d)

(x-6)²-9x²

(x-6-3x)+(x-6+3x)

(-2x-6)(4x-6)

-4(x+3)(2x-3)

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