What is 25*(6k-5)^2-64*(9k+4)^2 ?

The solution to 25*(6k-5)^2-64*(9k+4)^2 is -4284k^2-6108k-399

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simplify 25(6k-5)^2-64(9k+4)^2

simplify

25 \cdot (6 k - 5)^{2} - 64 \cdot (9 k + 4)^{2}

- 4284 k^{2} - 6108 k - 399

Solution steps

25 (6 k - 5)^{2} - 64 (9 k + 4)^{2}

Expand

25 (6 k - 5)^{2} : 900 k^{2} - 1500 k + 625

= 900 k^{2} - 1500 k + 625 - 64 (9 k + 4)^{2}

Expand

- 64 (9 k + 4)^{2} : - 5184 k^{2} - 4608 k - 1024

= 900 k^{2} - 1500 k + 625 - 5184 k^{2} - 4608 k - 1024

Group like terms

= 900 k^{2} - 5184 k^{2} - 1500 k - 4608 k + 625 - 1024

Add similar elements:

900 k^{2} - 5184 k^{2} = - 4284 k^{2}

= - 4284 k^{2} - 1500 k - 4608 k + 625 - 1024

Add similar elements:

- 1500 k - 4608 k = - 6108 k

= - 4284 k^{2} - 6108 k + 625 - 1024

Subtract the numbers:

625 - 1024 = - 399

= - 4284 k^{2} - 6108 k - 399

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What is 25*(6k-5)^2-64*(9k+4)^2 ?
The solution to 25*(6k-5)^2-64*(9k+4)^2 is -4284k^2-6108k-399