सोडोवचें (x-13)((x-7)(x-7)+32)+5(-2(x-7)+40)+2(8+5(x-7))

$$( x - 13 ) ( ( x - 7 ) ( x - 7 ) + 32 ) + 5 ( - 2 ( x - 7 ) + 40 ) + 2 ( 8 + 5 ( x - 7 ) )$$

मूल्यांकन करचें

$$x^{3}-27x^{2}+263x-837$$

सोडोवणी पांवडे

\left(x-7\right)^{2} मेळोवंक x-7 आनी x-7 गुणचें.

$$\left(x-13\right)\left(\left(x-7\right)^{2}+32\right)+5\left(-2\left(x-7\right)+40\right)+2\left(8+5\left(x-7\right)\right)$$

बायनोमियल प्रमेयाचो वापर करून \left(a-b\right)^{2}=a^{2}-2ab+b^{2} विस्तारावचें \left(x-7\right)^{2}.

$$\left(x-13\right)\left(x^{2}-14x+49+32\right)+5\left(-2\left(x-7\right)+40\right)+2\left(8+5\left(x-7\right)\right)$$

81 मेळोवंक 49 आनी 32 ची बेरीज करची.

$$\left(x-13\right)\left(x^{2}-14x+81\right)+5\left(-2\left(x-7\right)+40\right)+2\left(8+5\left(x-7\right)\right)$$

x-13च्या प्रत्येकी टर्माक x^{2}-14x+81 च्या प्रत्येकी टर्मान गुणाकार करून वितरक गुणधर्म लागू करचो.

$$x^{3}-14x^{2}+81x-13x^{2}+182x-1053+5\left(-2\left(x-7\right)+40\right)+2\left(8+5\left(x-7\right)\right)$$

-27x^{2} मेळोवंक -14x^{2} आनी -13x^{2} एकठांय करचें.

$$x^{3}-27x^{2}+81x+182x-1053+5\left(-2\left(x-7\right)+40\right)+2\left(8+5\left(x-7\right)\right)$$

263x मेळोवंक 81x आनी 182x एकठांय करचें.

$$x^{3}-27x^{2}+263x-1053+5\left(-2\left(x-7\right)+40\right)+2\left(8+5\left(x-7\right)\right)$$

x-7 न -2 गुणपाक विभाजक विशमाचो वापर करचो.

$$x^{3}-27x^{2}+263x-1053+5\left(-2x+14+40\right)+2\left(8+5\left(x-7\right)\right)$$

54 मेळोवंक 14 आनी 40 ची बेरीज करची.

$$x^{3}-27x^{2}+263x-1053+5\left(-2x+54\right)+2\left(8+5\left(x-7\right)\right)$$

-2x+54 न 5 गुणपाक विभाजक विशमाचो वापर करचो.

$$x^{3}-27x^{2}+263x-1053-10x+270+2\left(8+5\left(x-7\right)\right)$$

253x मेळोवंक 263x आनी -10x एकठांय करचें.

$$x^{3}-27x^{2}+253x-1053+270+2\left(8+5\left(x-7\right)\right)$$

-783 मेळोवंक -1053 आनी 270 ची बेरीज करची.

$$x^{3}-27x^{2}+253x-783+2\left(8+5\left(x-7\right)\right)$$

x-7 न 5 गुणपाक विभाजक विशमाचो वापर करचो.

$$x^{3}-27x^{2}+253x-783+2\left(8+5x-35\right)$$

-27 मेळोवंक 8 आनी 35 वजा करचे.

$$x^{3}-27x^{2}+253x-783+2\left(-27+5x\right)$$

-27+5x न 2 गुणपाक विभाजक विशमाचो वापर करचो.

$$x^{3}-27x^{2}+253x-783-54+10x$$

-837 मेळोवंक -783 आनी 54 वजा करचे.

$$x^{3}-27x^{2}+253x-837+10x$$

263x मेळोवंक 253x आनी 10x एकठांय करचें.

$$x^{3}-27x^{2}+263x-837$$

विस्तार करचो

$$x^{3}-27x^{2}+263x-837$$

सोडोवणी पांवडे

\left(x-7\right)^{2} मेळोवंक x-7 आनी x-7 गुणचें.

$$\left(x-13\right)\left(\left(x-7\right)^{2}+32\right)+5\left(-2\left(x-7\right)+40\right)+2\left(8+5\left(x-7\right)\right)$$

बायनोमियल प्रमेयाचो वापर करून \left(a-b\right)^{2}=a^{2}-2ab+b^{2} विस्तारावचें \left(x-7\right)^{2}.

$$\left(x-13\right)\left(x^{2}-14x+49+32\right)+5\left(-2\left(x-7\right)+40\right)+2\left(8+5\left(x-7\right)\right)$$

81 मेळोवंक 49 आनी 32 ची बेरीज करची.

$$\left(x-13\right)\left(x^{2}-14x+81\right)+5\left(-2\left(x-7\right)+40\right)+2\left(8+5\left(x-7\right)\right)$$

x-13च्या प्रत्येकी टर्माक x^{2}-14x+81 च्या प्रत्येकी टर्मान गुणाकार करून वितरक गुणधर्म लागू करचो.

$$x^{3}-14x^{2}+81x-13x^{2}+182x-1053+5\left(-2\left(x-7\right)+40\right)+2\left(8+5\left(x-7\right)\right)$$

-27x^{2} मेळोवंक -14x^{2} आनी -13x^{2} एकठांय करचें.

$$x^{3}-27x^{2}+81x+182x-1053+5\left(-2\left(x-7\right)+40\right)+2\left(8+5\left(x-7\right)\right)$$

263x मेळोवंक 81x आनी 182x एकठांय करचें.

$$x^{3}-27x^{2}+263x-1053+5\left(-2\left(x-7\right)+40\right)+2\left(8+5\left(x-7\right)\right)$$

x-7 न -2 गुणपाक विभाजक विशमाचो वापर करचो.

$$x^{3}-27x^{2}+263x-1053+5\left(-2x+14+40\right)+2\left(8+5\left(x-7\right)\right)$$

54 मेळोवंक 14 आनी 40 ची बेरीज करची.

$$x^{3}-27x^{2}+263x-1053+5\left(-2x+54\right)+2\left(8+5\left(x-7\right)\right)$$

-2x+54 न 5 गुणपाक विभाजक विशमाचो वापर करचो.

$$x^{3}-27x^{2}+263x-1053-10x+270+2\left(8+5\left(x-7\right)\right)$$

253x मेळोवंक 263x आनी -10x एकठांय करचें.

$$x^{3}-27x^{2}+253x-1053+270+2\left(8+5\left(x-7\right)\right)$$

-783 मेळोवंक -1053 आनी 270 ची बेरीज करची.

$$x^{3}-27x^{2}+253x-783+2\left(8+5\left(x-7\right)\right)$$

x-7 न 5 गुणपाक विभाजक विशमाचो वापर करचो.

$$x^{3}-27x^{2}+253x-783+2\left(8+5x-35\right)$$

-27 मेळोवंक 8 आनी 35 वजा करचे.

$$x^{3}-27x^{2}+253x-783+2\left(-27+5x\right)$$

-27+5x न 2 गुणपाक विभाजक विशमाचो वापर करचो.

$$x^{3}-27x^{2}+253x-783-54+10x$$

-837 मेळोवंक -783 आनी 54 वजा करचे.

$$x^{3}-27x^{2}+253x-837+10x$$

263x मेळोवंक 253x आनी 10x एकठांय करचें.

$$x^{3}-27x^{2}+263x-837$$