please show me the steps:)
2007-07-20 08:30:51 · 11 answers · asked by Daphne 1 in Science & Mathematics ➔ Mathematics
http://en.wikipedia.org/wiki/Greatest_common_divisor_of_two_polynomials
2007-07-20 08:38:13 · answer #1 · answered by Gengis 6 · 0⤊ 0⤋
If x=0
steps...
2(3x^2-5x) +4x(7+x) = 10x^2 +18x
6x^2 -10x +28x +4x^2 =10x^2 +18x
collect like terms and you will get the following
10x^2-18x =10x^2+18x
take the right side of equation to the left side and you will get the following
10x^2-10x^2+18x-18x =0
so 0=0
2007-07-20 15:40:31 · answer #2 · answered by CuriousG 3 · 0⤊ 0⤋
Firstly expand the brackets (multiply each term inside brackets by each term outside the brackets)
This gives 6x^2 - 10x + 28x + 4x^2
Simplify this expression by adding/subtracting like terms
which gives 6x^2 + 4x^2 = 10x^2
(-10x + 28x) = (28x - 10x) = 18x^2
So 2(3x^2 - 5x) + 4x(7 + x)
= 6x^2 - 10x + 28x + 4x^2
= 10x^2 +18x
2007-07-20 15:40:56 · answer #3 · answered by Mandél M 3 · 0⤊ 0⤋
Multipy the terms and combine like terms
2(3x^2 - 5x) + 4x(7 + x)
6x^2-10x+28x+4x^2
(6x^2+4x^2)+(28x-10x)
10x^2+18x=10x^2 + 18x
2007-07-20 15:36:47 · answer #4 · answered by palm 2 · 0⤊ 0⤋
2(3x^2 - 5x) + 4x(7 + x) =
6x^2 - 10x + 28x + 4x^2 =
10x^2 + 18x
Being equal implies being equivalent
2007-07-20 15:36:41 · answer #5 · answered by robertonereo 4 · 0⤊ 0⤋
Multiply each number outside the parenthesis to each term inside the parenthesis:
2(3x² - 5x) + 4x (7 +x)
6x² - 10x + 28x + 4x²
Combine like terms:
6x² + 4x² - 10x + 28x
10x² +18x
2007-07-20 15:36:16 · answer #6 · answered by michaelangelo 2 · 0⤊ 0⤋
2(3x^2 - 5x) + 4x(7 + x)
lets multiply first multiplication distributs, remember?
6x^2 -10x + 28x + 4x^2
noW combine like terms ading together all of the X^2's , x's and constants:
10x^2 +18x+0
2007-07-20 15:42:16 · answer #7 · answered by Anonymous · 0⤊ 0⤋
2(3x^2 - 5x) + 4x(7 + x)
distribution property:
a(b + c) = ab + ac
6x^2 - 10x + 28x + 6x^2
combine like terms
10x^2 + 18x
2007-07-20 15:35:17 · answer #8 · answered by 7 · 0⤊ 0⤋
2 (3x² - 5x) + 4x (7 + x)
6 x² - 10 x + 28 x + 4 x²
10 x² + 18 x
2007-07-20 15:51:19 · answer #9 · answered by Como 7 · 0⤊ 0⤋
2(3x^2 - 5x) + 4x(7 + x)
distribute 2 to everything in () beside it
and distribute 4 to everything in () beside it
6x^2-10x+28x+4x^2
combine like terms
(6x^2+4x^2)+(-10x+28x)
add/subtract
10x^2+18x
2007-07-20 15:33:48 · answer #10 · answered by Carmen 4 · 0⤊ 0⤋
2(3x^2 - 5x) + 4x(7 + x)
=6x^2-10x+28x+4x^2
=10x^2 + 18x
QED
2007-07-20 15:33:57 · answer #11 · answered by harry m 6 · 0⤊ 1⤋