Va rog sa.mi facă și mie cineva exercițiile astea:
1/27 - 27t^3
8x^9 - b^3
125 + k^3
a^3b^6 - 1
renatemambouko:
expresiile sunt egale cu 0?
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formulele aplicate
a³+b³=(a+b)(a²-ab+b²)
a³-b³=(a-b)(a²+ab+b²)
1/27 - 27t³ = (1/3)³ -(3t)³=(1/3 -3t)[(1/3)²+(1/3)*3t)+ (3t)²]=(1/3 -3t)(1/9+t+ 9t²)
8x⁹ - b³ =(2x³)-b³=(2x³-b)(4x⁶+2x³b+b²)
125 + k³=5³+k³=(5+k)(25-5k+k²)
a³b⁶ - 1=(ab²)³-(1)³=(ab²-1)(a²b⁴+ab²+1)
8 + 1/8x^3=2³+1/2³x³=(2+1/2x)(4-x+1/4x²)
64y⁶-c³ =2⁶y⁶-c³ =(2²y²)³-c³ =(2²y²-c)(2⁴y⁴+4y²c+c²)
-64+b⁶=-(2²)³+(b²)³=[-(2)²+b²](16+4b²+b⁴)
t¹²-1000 =(t⁴)³-10³=(t⁴-10)(t⁸+10t⁴+100)
-x³y³-1/8 =-(xy+1/2)(x²y²-1/2 xy+1/4)
a¹⁵+b³ =(a⁵+b)(a¹⁰-a⁵b+b²)
a³+b³=(a+b)(a²-ab+b²)
a³-b³=(a-b)(a²+ab+b²)
1/27 - 27t³ = (1/3)³ -(3t)³=(1/3 -3t)[(1/3)²+(1/3)*3t)+ (3t)²]=(1/3 -3t)(1/9+t+ 9t²)
8x⁹ - b³ =(2x³)-b³=(2x³-b)(4x⁶+2x³b+b²)
125 + k³=5³+k³=(5+k)(25-5k+k²)
a³b⁶ - 1=(ab²)³-(1)³=(ab²-1)(a²b⁴+ab²+1)
8 + 1/8x^3=2³+1/2³x³=(2+1/2x)(4-x+1/4x²)
64y⁶-c³ =2⁶y⁶-c³ =(2²y²)³-c³ =(2²y²-c)(2⁴y⁴+4y²c+c²)
-64+b⁶=-(2²)³+(b²)³=[-(2)²+b²](16+4b²+b⁴)
t¹²-1000 =(t⁴)³-10³=(t⁴-10)(t⁸+10t⁴+100)
-x³y³-1/8 =-(xy+1/2)(x²y²-1/2 xy+1/4)
a¹⁵+b³ =(a⁵+b)(a¹⁰-a⁵b+b²)
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