सोडोवचें {l}{3x^2+3x-1}{-10x+5}{x^3-1}{5x+10}

$$\left. \begin{array} { l } { 3 x ^ { 2 } + 3 x - 1 } \\ { - 10 x + 5 } \\ { x ^ { 3 } - 1 } \\ { 5 x + 10 } \end{array} \right.$$

कमी सामान्य सादारण भाज्य

$$5\left(2x-1\right)\left(x+2\right)\left(3x^{2}+3x-1\right)\left(x^{3}-1\right)$$

सोडोवणी पांवडे

आदींच फॅक्टर्ड नाशिल्लें ऍक्सप्रेशन फॅक्ट करचें.

$$3x^{2}+3x-1=3\left(x-\left(-\frac{1}{6}\sqrt{21}-\frac{1}{2}\right)\right)\left(x-\left(\frac{1}{6}\sqrt{21}-\frac{1}{2}\right)\right) -10x+5=5\left(-2x+1\right) x^{3}-1=\left(x-1\right)\left(x^{2}+x+1\right) 5x+10=5\left(x+2\right)$$

सगळ्या ऍक्सप्रेशनानीं सगळे फॅक्टर आनी तांचो उंचेलो पावर वळखुचो. ह्या फॅक्टरांचो उंचेलो पावर किमान सामान्य गुणाकार मेळूंक गुणचो.

$$15\left(x-1\right)\left(2x-1\right)\left(x+2\right)\left(x-\left(-\frac{\sqrt{21}}{6}-\frac{1}{2}\right)\right)\left(x-\left(\frac{\sqrt{21}}{6}-\frac{1}{2}\right)\right)\left(x^{2}+x+1\right)$$

ऍक्सप्रेशन विस्तारचें.

$$30x^{7}+75x^{6}+5x^{5}-75x^{4}-65x^{3}-5x^{2}+45x-10$$

मूल्यांकन करचें

$$3x^{2}+3x-1,\ 5-10x,\ x^{3}-1,\ 5x+10$$