Question

a) x^3 + 2x^2 -16(x+2)
b) 25x^4(x^2 + 2x - 3)^2
c) 9(x-2)^2-4(3x-7)^2
d) (2x^2 -2x +5)^2 - (x^2+2x+2)^2

Answer 1

a) x^3 + 2x^2 - 16x - 16 • 2

= x^3 + 2x^2 - 16x - 32.

b) 25x^4 • (x^4 + 4x^2 + 9 + 4x^3 - 6x^2 - 12x)

25x^4 • (x^4 - 2x^2 + 9 + 4x^3 - 12x)

25x^8 - 50x^6 + 225x^4 + 100x^7 - 300x^5

= 25x^8 + 100x^7 - 50x^6 - 300x^5 + 225x^4.

c) (3(x - 2) - 2(3x - 7)) • (3(x - 2) + 2(3x - 7))

(3x - 6 - 6x + 14) • (3x - 6 + 6x - 14)

= (-3x + 8) • (9x - 20).

d) (x^2 - 4x + 3) • (3x^2 + 7)

(x • (x - 1) - 3(x - 1)) • (3x^2 + 7)

= (x - 1) • (x - 3) • (3x^2 + 7).