What is 121(35-7t)^2-225(18-3t)^2 ?

The solution to 121(35-7t)^2-225(18-3t)^2 is 3904t^2-34990t+75325

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simplify 121(35-7t)^2-225(18-3t)^2

simplify

121 (35 - 7 t)^{2} - 225 (18 - 3 t)^{2}

3904 t^{2} - 34990 t + 75325

Solution steps

121 (35 - 7 t)^{2} - 225 (18 - 3 t)^{2}

Expand

121 (35 - 7 t)^{2} : 148225 - 59290 t + 5929 t^{2}

= 148225 - 59290 t + 5929 t^{2} - 225 (18 - 3 t)^{2}

Expand

- 225 (18 - 3 t)^{2} : - 72900 + 24300 t - 2025 t^{2}

= 148225 - 59290 t + 5929 t^{2} - 72900 + 24300 t - 2025 t^{2}

Group like terms

= 5929 t^{2} - 2025 t^{2} - 59290 t + 24300 t + 148225 - 72900

Add similar elements:

5929 t^{2} - 2025 t^{2} = 3904 t^{2}

= 3904 t^{2} - 59290 t + 24300 t + 148225 - 72900

Add similar elements:

- 59290 t + 24300 t = - 34990 t

= 3904 t^{2} - 34990 t + 148225 - 72900

Subtract the numbers:

148225 - 72900 = 75325

= 3904 t^{2} - 34990 t + 75325

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What is 121(35-7t)^2-225(18-3t)^2 ?
The solution to 121(35-7t)^2-225(18-3t)^2 is 3904t^2-34990t+75325