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milana2002rey
@milana2002rey
July 2022
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Разложите на множители:
1) 0.125a^6+b^3c^12
2) 216n^3-0.064m^3a^16
3) 0.18x^5-8x^3y^8
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ВладимирБ
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Решение смотри на фото
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oganesbagoyan
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Разложите на множители:
1) 0.125a^6+b^3c^12
2) 216n^3-0.064m^3a^16
3) 0.18x^5-8x^3y^8
====================
1) 0.125a⁶+b³c¹² =(0.5a²)³+(bc⁴)³ =(0.5a²+bc⁴)*( (0.5a²)² - 0.5a²*bc⁴ +(bc⁴)² ) = (0.5a²+bc⁴)* (0.25a⁴ - 0.5a²bc⁴ + b²c⁸).
---
2) (6n)³- (0.4ma⁵)³ =(6n-0,4ma⁵) ( (6n)² +6n*0.4ma⁵ +(0.4ma⁵)² ) =
(6n-0,4ma⁵) ( 36n² +2,4nma⁵ +0.16m²a¹⁰).
---
3) 0.18x^5-8x^3y^8 =x³(0.36x²-16y⁸) /2=0.5x³( (0.6x)²-(4y⁴)² ) =
0.5x³(0.6x+4y⁴)(0.6x - 4y⁴).
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Answers & Comments
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Решение смотри на фотоVerified answer
Разложите на множители:1) 0.125a^6+b^3c^12
2) 216n^3-0.064m^3a^16
3) 0.18x^5-8x^3y^8
====================
1) 0.125a⁶+b³c¹² =(0.5a²)³+(bc⁴)³ =(0.5a²+bc⁴)*( (0.5a²)² - 0.5a²*bc⁴ +(bc⁴)² ) = (0.5a²+bc⁴)* (0.25a⁴ - 0.5a²bc⁴ + b²c⁸).
---
2) (6n)³- (0.4ma⁵)³ =(6n-0,4ma⁵) ( (6n)² +6n*0.4ma⁵ +(0.4ma⁵)² ) =
(6n-0,4ma⁵) ( 36n² +2,4nma⁵ +0.16m²a¹⁰).
---
3) 0.18x^5-8x^3y^8 =x³(0.36x²-16y⁸) /2=0.5x³( (0.6x)²-(4y⁴)² ) =
0.5x³(0.6x+4y⁴)(0.6x - 4y⁴).