Im sorry, but my keyboard doesnt have power to the 3 or power to the two...
So i will use symbols:
*=3
"=2
Simplify the following:
(x + 5)* - x( x + 3)" - 7x + 4
And please show me your work, because this confused me a bit...
Thanks you ALOT!!!!!!!!
2007-12-07 02:42:33 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
(x + 5)* - x( x + 3)" - 7x + 4
So you really mean
(x + 5)^3 - x( x + 3)^2 - 7x + 4
(x+5)^3 = (x+5)(x+5)^2 = (x+5)(x^2 + 10x + 25) = x^3 + 10x^2 + 25x + 5x^2 + 50x + 125 = x^3 + 15x^2 + 75x + 125
x(x+3)^2 = x(x^2 + 6x + 9) = x^3 + 6x^2 + 9x
(x + 5)^3 - x( x + 3)^2 - 7x + 4 = x^3 + 15x^2 + 75x + 125 - (x^3 + 6x^2 + 9x) - 7x + 4
= 9x^2 + 59x + 129
2007-12-07 02:53:20 · answer #1 · answered by PeterT 5 · 0⤊ 0⤋
A = (x + 5)³ = (x + 5) (x² + 10x + 25)
A = (x + 5)³ = x² + 10x² + 25x + 5x² + 50x + 125
A = (x + 5)³ = x³ + 15x² + 75x + 125
B = x (x + 3)² = x (x² + 6x + 9)
B = x(x + 5)² = x³ + 6x² + 9x
C = 7x
D = 4
(A - B) - C + D is given by:-
9x² + 66x + 125 - 7x + 4
9x² + 59x + 129
2007-12-07 04:23:25 · answer #2 · answered by Como 7 · 3⤊ 0⤋
(x + 5)³ - x(x + 3)² - 7x + 4
break it down
first term
(x + 5)³ = (x+5)(x+5)(x+5)
= (x+5)(x² + 10x + 25)
= (x³ + 15x² + 75x + 125)
second term
x(x + 3)² = x(x² + 6x + 9)
= (x³ + 6x² + 9x)
now collect all terms
(x³ + 15x² + 75x + 125) - (x³ + 6x² + 9x) - 7x +4
= 9x² + 59x + 129
2007-12-07 02:58:39 · answer #3 · answered by Jim L 3 · 0⤊ 0⤋
= x^3 + 15x^2 + 75x + 125 - x(x^2 + 6x + 9) -7x +4
= x^3 + 15x^2 + 75x + 125 - x^3 -6x^2 -9x -7x +4
= 9x^2 + 59x + 129
2007-12-07 02:55:41 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Multiply out each one then add, collect terms, then simplify
2007-12-07 02:53:25 · answer #5 · answered by kellenraid 6 · 0⤊ 0⤋
[03]
(x+5)^3-x(x+3)^2-7x+4
=(x^3+15x^2+75x+125)-x(x^2+6x+9)-7x+4
=x^3+15x^2+75x+125-x^3-6x^2-9x-7x+4
=9x^2-59x+129
2007-12-07 02:56:30 · answer #6 · answered by alpha 7 · 0⤊ 0⤋