(2a+3b)²-2(2a+3b)(3b-a)+(3b-a)²

asked by guest
on Jan 09, 2025 at 6:09 am



You asked:

Evaluate the expression: \({\left( 2 a + 3 b \right)}^{2} - 2 \left(2 a + 3 b\right) \left(3 b - a\right) + {\left( 3 b - a \right)}^{2}\)

MathBot Answer:

Evaluated



\(\displaystyle {\left( 2 a + 3 b \right)}^{2} - 2 \left(2 a + 3 b\right) \left(3 b - a\right) + {\left( 3 b - a \right)}^{2} = \left(- a + 3 b\right)^{2} - 2 \left(- a + 3 b\right) \left(2 a + 3 b\right) + \left(2 a + 3 b\right)^{2} \)

Expanded

\[{\left( 2 a + 3 b \right)}^{2} - 2 \left(2 a + 3 b\right) \left(3 b - a\right) + {\left( 3 b - a \right)}^{2} = 9 a^{2}\]

Factored

\[{\left( 2 a + 3 b \right)}^{2} - 2 \left(2 a + 3 b\right) \left(3 b - a\right) + {\left( 3 b - a \right)}^{2} = 9 a^{2}\]

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