simplify (2p + 3q)2 - (p - q)(2q - p)
You asked:
Simplify the expression: \(\left(2 p + 3 q\right) \cdot 2 - \left(p - q\right) \cdot \left(2 q - p\right)\)
MathBot Answer:
Simplified:
\[ \left(2 p + 3 q\right) \cdot 2 - \left(p - q\right) \cdot \left(2 q - p\right) = 4 p + 6 q + \left(p - 2 q\right) \left(p - q\right) \]
Expanded:
\[ \left(2 p + 3 q\right) \cdot 2 - \left(p - q\right) \cdot \left(2 q - p\right) = p^{2} - 3 p q + 4 p + 2 q^{2} + 6 q \]
Factored:
\[ \left(2 p + 3 q\right) \cdot 2 - \left(p - q\right) \cdot \left(2 q - p\right) = p^{2} - 3 p q + 4 p + 2 q^{2} + 6 q \]