Two mark example problems III — task. Mathematics State Board, Class 9.

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Answer variants:

\(-2250\)

{125 a}^{3} - {225 a}^{2} b + {135 ab}^{2} + {27 b}^{3}

{8 x}^{3} + {27 y}^{3} + {64 z}^{3} - 72 xyz

{8 x}^{3} + {27 y}^{3} + {64 z}^{3} + 72 xyz

\(-2150\)

{125 a}^{3} - {225 a}^{2} b + {135 ab}^{2} - {27 b}^{3}

{8 x}^{3} + {27 y}^{3} - {64 z}^{3} - 72 xyz

{125 a}^{3} + {225 a}^{2} b + {135 ab}^{2} - {27 b}^{3}

\(2250\)

{8 x}^{3} - {27 y}^{3} + {64 z}^{3} - 72 xyz

\(2150\)

{125 a}^{3} - {225 a}^{2} b - {135 ab}^{2} + {27 b}^{3}

1. Expand \((5a - 3b)^3\).

Answer:

\((5a - 3b)^3 =\)

2. Find the product of \((2x + 3y + 4z)(4x^2 + 9y^2 + 16z^2 - 6xy - 12yz - 8zx)\).

Answer:

\((2x + 3y + 4z)(4x^2 + 9y^2 + 16z^2 - 6xy - 12yz - 8zx) =\)

3. Evaluate \(10^3 - 15^3 + 5^3\).

Answer:

The solution is

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4. Two mark example problems III