SOLUTION: Dear ma'am or sir, Can you please help me how to simplify this following algebraic expressions? 1). 2x^2+5x-12/15-10x 2). (a-b)(b-c)/(a^2-b^2)(a^2-b^2) 3). 3(x-2)^2/6(x-2)^2

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: Dear ma'am or sir, Can you please help me how to simplify this following algebraic expressions? 1). 2x^2+5x-12/15-10x 2). (a-b)(b-c)/(a^2-b^2)(a^2-b^2) 3). 3(x-2)^2/6(x-2)^2       Log On

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Question 109835: Dear ma'am or sir,
Can you please help me how to simplify this following algebraic expressions?
1). 2x^2+5x-12/15-10x
2). (a-b)(b-c)/(a^2-b^2)(a^2-b^2)
3). 3(x-2)^2/6(x-2)^2
4). x^2+3x-10/x^2-4x+4
Thank you very much for your generosity ma'ams' or sirs'
Answer by josmiceli(6786) About Me  (Show Source):
You can put this solution on YOUR website!
1). 2x^2+5x-12/15-10x
2). (a-b)(b-c)/(a^2-b^2)(a^2-b^2)
3). 3(x-2)^2/6(x-2)^2
4). x^2+3x-10/x^2-4x+4
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2x%5E2%2B5x+-+%2812%2F15%29+-+10x
2x%5E2+-+5x+-+%284%2F5%29
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%28a-b%29%28b-c%29%2F%28a%5E2-b%5E2%29%28a%5E2-b%5E2%29
%28a+-+b%29%28b+-+c%29+%2F+%28a+%2B+b%29%28a+-+b%29%28a+%2B+b%29%28a+-+b%29
%28b+-+c%29+%2F+%28a+%2B+b%29%5E2%28a+-+b%29
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3%28x-2%29%5E2%2F6%28x-2%29%5E2
(x-2)^2 is a common factor in both numerator and denominator
3%2F6
1%2F2
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x%5E2%2B3x-10%2Fx%5E2-4x%2B4
x%5E2+-+%2810%2Fx%5E2%29+-+x+%2B+4
I don't know where to go from here. Hope I have helped