Mathematics, 10.11.2019 04:31 suiani8
Choose one of the factors of 27x3 512y3. 3 3x − 8y 9x2 − 24xy 64y2(answer 9x2 24xy 64y2
Answers: 2
![27 x^3\pm 512 y^3\\\\= (3 x)^3 \pm(8 y)^3\\\\1.(3 x)^3+ (8 y)^3=(3 x + 8 y)[(3 x)^2-(3 x)(8y)+(8y)^2]\\\\ (3 x)^3+ (8 y)^3=(3 x + 8 y)[9 x^2-24 x y+64 y^2]\\\\2.(3 x)^3- (8 y)^3=(3 x - 8 y)[(3 x)^2+(3 x)(8y)+(8y)^2]\\\\ (3 x)^3- (8 y)^3=(3 x - 8 y)[9 x^2+24 x y+64 y^2]](/tpl/images/0367/6622/1f7fa.png)
![(3 x)^3- (8 y)^3 {\text{has factor}} (3 x -8 y) and [9 x^2+24 x y+64 y^2], {\text{while}}, (3 x)^3+ (8 y)^3 {\text{has factor}} (3 x +8 y) and [9 x^2-24 x y+64 y^2],](/tpl/images/0367/6622/b4253.png)
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Choose one of the factors of 27x3 512y3. 3 3x − 8y 9x2 − 24xy 64y2(answer 9x2 24xy 64y2...
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