need all the steps please(5x-1)^2+(3x-3)^2?
回答 (5)
2009-06-16 8:42 am
✔ 最佳答案
(5x-1)^2+(3x-3)^2=(5x-1)(5x-1)+(3x-3)(3x-3)
=25x^2-10x+1+9x^2-18x+9
=34x^2-28x+10 answer//
2009-06-16 5:44 pm
= (5x - 1)² + (3x - 3)²
= 25x² - 5x - 5x + 1 + 9x² - 9x - 9x + 9
= 34x² - 28x + 10
= 2(17x² - 14x + 5)
Answer: 34x² - 28x + 10 OR 2(17x² - 14x + 5)
= 25x² - 5x - 5x + 1 + 9x² - 9x - 9x + 9
= 34x² - 28x + 10
= 2(17x² - 14x + 5)
Answer: 34x² - 28x + 10 OR 2(17x² - 14x + 5)
2009-06-16 3:41 pm
Expand and simplify.
(5x - 1)^2 + (3x - 3)^2
= (5x - 1)(5x - 1) + (3x - 3)(3x - 3)
= 5x*5x - 5x*1 - 1*5x + 1*1 + 3x*3x - 3x*3 - 3*3x + 3*3
= 25x^2 - 5x - 5x + 1 + 9x^2 - 9x - 9x + 9
= 25x^2 - 10x + 1 + 9x^2 - 18x + 9
= 25x^2 + 9x^2 - 10x - 18x + 1 + 9
= 34x^2 - 28x + 10
= 2(17x^2 - 14x + 5)
(5x - 1)^2 + (3x - 3)^2
= (5x - 1)(5x - 1) + (3x - 3)(3x - 3)
= 5x*5x - 5x*1 - 1*5x + 1*1 + 3x*3x - 3x*3 - 3*3x + 3*3
= 25x^2 - 5x - 5x + 1 + 9x^2 - 9x - 9x + 9
= 25x^2 - 10x + 1 + 9x^2 - 18x + 9
= 25x^2 + 9x^2 - 10x - 18x + 1 + 9
= 34x^2 - 28x + 10
= 2(17x^2 - 14x + 5)
2009-06-16 3:39 pm
=[25x^2 +1-10x] +(9x^2+9-18x)=
=34x^2 -28x +10
=34x^2 -28x +10
2009-06-16 3:36 pm
Square both the binomials then combine like terms.
( 5x - 1 )² = 25x² - 10x + 1
( 3x - 3 )² = 9x² - 18x + 9
Added together they are
( 25x² - 10x + 1 ) + ( 9x² - 18x + 9 )
Collect the like terms
25x² + 9x² - 10x - 18x + 1 + 9
Combine like terms like this
34x² - 28x + 10
This can be factored somewhat if you want
2 ( 17x² - 14x + 5 )
( 5x - 1 )² = 25x² - 10x + 1
( 3x - 3 )² = 9x² - 18x + 9
Added together they are
( 25x² - 10x + 1 ) + ( 9x² - 18x + 9 )
Collect the like terms
25x² + 9x² - 10x - 18x + 1 + 9
Combine like terms like this
34x² - 28x + 10
This can be factored somewhat if you want
2 ( 17x² - 14x + 5 )
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