expand and fully simplify 3(5p-6)-2p(3p-8)

asked by guest
on Nov 23, 2024 at 9:19 am



You asked:

Simplify the expression: \(3 \cdot \left(5 p - 6\right) - 2 \cdot p \cdot \left(3 p - 8\right)\)

MathBot Answer:

Simplified:

\[ 3 \cdot \left(5 p - 6\right) - 2 \cdot p\left( 3 p - 8 \right) = - 2 p \left(3 p - 8\right) + 15 p - 18 \]

Expanded:

\[ 3 \cdot \left(5 p - 6\right) - 2 \cdot p\left( 3 p - 8 \right) = - 6 p^{2} + 31 p - 18 \]

Factored:

\[ 3 \cdot \left(5 p - 6\right) - 2 \cdot p\left( 3 p - 8 \right) = - \left(2 p - 9\right) \left(3 p - 2\right) \]


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