Question

Opera y reduce
a) −(x − 1) + 3(3x + 2) − (2x 2 − 3x + 1)
b) (2x^3 − 6x + 1) · (x − 1) + (x + 1) · (x − 1)
c) 4(x − 7)^2 − (2x + 3)^2
d) (2x^3 − 6x + 1) · (x − 1) + (x + 1) · (x − 1)
e) 4(x − 7)^2 − (2x + 3)^2

Answer 1

Respuesta:

Explicación paso a paso:

a)-(x-1)+3(3x+2)-(2x:2-3x+1)=

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

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

=-x+1+9x+6-(x+1)

=-x+1+9x+6-x-1

=7x+6

b)(2x^3-6x+1)(x-1)+(x+1)(x-1)=

=2x^4-2x^3-6x^2+7x-1+(x+1)(x-1)

=2x^4-2x^3-6x^2+7x-1+x^2-1

=2x^4-2x^3-5x^2+7x-2

c)4(x − 7)^2 − (2x + 3)^2

=4(x^2-14x+49)-(4x^2+12x+9)

=4x^2-56x+196-(4x^2+12x+9)

=4x^2-56x+196-(4x^2+12x+9)

==4x^2-56x+196-4x^2-12x-9

d)(2x^3 − 6x + 1) · (x − 1) + (x + 1) · (x − 1)

==2x^4-2x^3-6x^2+7x-1+(x+1)(x+1)

=2x^4-2x^3-6x^2+7x-1+x^2-1

=2x^4-2x^3-5x^2+7x-2

e) 4(x − 7)^2 − (2x + 3)^2

=4(x^2-14x+49)-(2x+3)^2

=4(x^2-14x+49)-(4x^2+12x+9)

=4x^2-56x+196-(4x^2+12x+9)

=4x^2-56x+196-4x^2-12x-9

=-68x+187