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A = 2x2 - 6xy - 3xy - 6y - 2x2 + 8xy + 6y
= - xy
= \(\frac{2}{3}\)\(x\)\(\frac{3}{4}\)
= \(\frac{1}{2}\)
mk đang bận mấy câu kia tương tự nha
1) \(\left(x^2+x+1\right)\left(x^2+x+2\right)-12=x^4+x^3+2x^2+x^3+x^2+2x+x^2+x+2-12\)
\(=x^4+2x^3+4x^2+3x-10=\left(x^4+2x^3\right)+\left(4x^2+8x\right)+\left(-5x-10\right)\)
\(=x^3.\left(x+2\right)+4x.\left(x+2\right)-5.\left(x+2\right)=\left(x+2\right)\left(x^3+4x-5\right)\)
\(=\left(x+2\right)\left(x^3-x^2+x^2-x+5x-5\right)=\left(x+2\right)\left(x-1\right)\left(x^2+x+5\right)\)
2) \(\left(x+2\right)\left(x+3\right)\left(x+4\right)\left(x+5\right)-24=\left[\left(x+2\right)\left(x+5\right)\right].\left[\left(x+3\right)\left(x+4\right)\right]-24\)
\(=\left(x^2+7x+10\right).\left(x^2+7x+12\right)-24\)
Đặt \(a=x^2+7x+10\) thì ta có :\(a.\left(a+2\right)-24=a^2+2a-24=\left(a^2+2a+1\right)-25=\left(a+1\right)^2-5^2\)
\(=\left(a+1+5\right)\left(a+1-5\right)=\left(a+6\right)\left(a-4\right)\)
Thay a , ta có :
\(\left(x^2+7x+10+6\right)\left(x^2+7x+10-4\right)=\left(x^2+7x+16\right).\left(x^2+x+6x+6\right)\)
\(=\left(x^2+7x+16\right)\left(x+1\right)\left(x+6\right)\)
1) y/(y + 2) - 3/(y - 2) = (y^2 + 8)/(y^2 - 4)
<=> y/(y + 2) - 3/(y - 2) = (y^2 + 8)/((y - 2)(y + 2))
<=> y(y - 2) - 3(y + 2) = y^2 + 8
<=> y^2 - 2y - 3y - 6 = y^2 + 8
<=> y^2 - 5y - 6 = y^2 + 8
<=> -5y - 6 = 8
<=> -5y = 8 + 6
<=> -5y = 14
<=> y = -14/5
2) 7/(2x - 3) + 1/(2x - 2) = 3/(x - 1)
<=> 14(x - 1) + 2x - 3 = 6(2x - 3)
<=> 14x - 14 + 2x - 3 = 12x - 18
<=> 16x - 17 = 12x - 18
<=> 16x - 17 - 12x = -18
<=> 4x - 17 = -18
<=> 4x = -18 + 17
<=> 4x = -1
<=> x = -1/4