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شائع >

factor 343m^3+64n^3

الحلّ

factor

343 m^{3} + 64 n^{3}

الحلّ

(7 m + 4 n) (49 m^{2} - 28 mn + 16 n^{2})

خطوات الحلّ

343 m^{3} + 64 n^{3}

فعّل قانون القوى

= (7 m)^{3} + (4 n)^{3}

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

فعّل القانون

(7 m)^{3} + (4 n)^{3} = (7 m + 4 n) ((7 m)^{2} - 7 m \cdot 4 n + (4 n)^{2})

= (7 m + 4 n) ((7 m)^{2} - 7 m \cdot 4 n + (4 n)^{2})

(7 m)^{2} - 7 m \cdot 4 n + (4 n)^{2}

بسّط:

49 m^{2} - 28 mn + 16 n^{2}

= (7 m + 4 n) (49 m^{2} - 28 mn + 16 n^{2})

أمثلة شائعة

x^{2} - 8 x - 12 = 36

simplify (-3ab^2)^3 simplify

(- 3 a b^{2})^{3}

simplify (2+5i)/(5-2i)simplify

\frac{2 + 5 i}{5 - 2 i}

factor x^3-8x+8 factor

x^{3} - 8 x + 8

0 = x^{2} - 2 x - 3