(6h+5)^7 -(4h-6)^6

asked by guest
on Jan 24, 2025 at 9:43 am



You asked:

Evaluate the expression: \({\left( 6 h + 5 \right)}^{7} - {\left( 4 h - 6 \right)}^{6}\)

MathBot Answer:

Evaluated



\(\displaystyle {\left( 6 h + 5 \right)}^{7} - {\left( 4 h - 6 \right)}^{6} = - \left(4 h - 6\right)^{6} + \left(6 h + 5\right)^{7} \)

Expanded

\[{\left( 6 h + 5 \right)}^{7} - {\left( 4 h - 6 \right)}^{6} = 279936 h^{7} + 1628864 h^{6} + 4119264 h^{5} + 5531760 h^{4} + 5001480 h^{3} + 2051460 h^{2} + 842874 h + 31469\]

Factored

\[{\left( 6 h + 5 \right)}^{7} - {\left( 4 h - 6 \right)}^{6} = 279936 h^{7} + 1628864 h^{6} + 4119264 h^{5} + 5531760 h^{4} + 5001480 h^{3} + 2051460 h^{2} + 842874 h + 31469\]

+ Submit Question