Question

(5m-3n)³+(5m+3n) ³ simplify those who will answer first I am very thanks of him and follow him
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Answer 1

Answer:

Step-by-step explanation:

It's in the equation a³ + b³

125m³+3×5m×(-3n)²

125m³+135mn²

Answer 2

Answer:

$(5m - 3n {)}^{3} + (5m + 3n {)}^{3} \\ we \: \: will \: \: use \: \: this \: \: identity \: \\ {x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2} ) \\(5m - 3n {)}^{3} + (5m + 3n {)}^{3} \\ = ((5m - 3n) + (5m + 3n))((5m - 3n {)}^{2} - (5m - 3n) \times (5m + 3n) + (5m - 3n {)}^{2} ) \\ = (5m - 3n + 5m + 3n)((5 {m})^{2} + (3n {)}^{2} -2 \times 5m \times 3n - (5m(5m + 3n) - 3n(5m + 3n)) + ( 5 {m})^{2} + (3n {)}^{2} - 2 \times 5m \times 3n \\ = (10m)(25 {m}^{2} + 9 {n}^{2} - 30mn - (25 {m}^{2} + 15mn - 15mn - 9 {n}^{2} ) + 25 {m}^{2} + 9 {n}^{2} - 30mn) \\ = (10m)(25 {m}^{2} + 9 {n}^{2} - 30mn - 25 {m}^{2} - 9 {n}^{2} +25 {m}^{2} + 9 {n}^{2} - 30mn) \\ = (10m)(25 {m}^{2} - 25 {m}^{2} + 25 {m}^{2} + 9 {n}^{2} - 9 {n}^{2} + 9 {n}^{2} - 30mn - 30mn) \\ = (10m)(25 {m}^{2} + 9 {n}^{2} - 60mn) \\ anwer$

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