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Popular >

simplify 3(1-t)^2-5(1-t)+1

Solution

simplify

3 (1 - t)^{2} - 5 (1 - t) + 1

Solution

3 t^{2} - t - 1

Solution steps

3 (1 - t)^{2} - 5 (1 - t) + 1

Expand

3 (1 - t)^{2} : 3 - 6 t + 3 t^{2}

= 3 - 6 t + 3 t^{2} - 5 (1 - t) + 1

Expand

- 5 (1 - t) : - 5 + 5 t

= 3 - 6 t + 3 t^{2} - 5 + 5 t + 1

Group like terms

= 3 t^{2} - 6 t + 5 t + 3 - 5 + 1

Add similar elements:

- 6 t + 5 t = - t

= 3 t^{2} - t + 3 - 5 + 1

Add the numbers:

3 - 5 + 1 = - 1

= 3 t^{2} - t - 1

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Frequently Asked Questions (FAQ)

What is 3(1-t)^2-5(1-t)+1 ?
The solution to 3(1-t)^2-5(1-t)+1 is 3t^2-t-1