What is expand (3t^2-t+1)^2 ?

The solution to expand (3t^2-t+1)^2 is 9t^4-6t^3+7t^2-2t+1

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expand (3t^2-t+1)^2

expand

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

9 t^{4} - 6 t^{3} + 7 t^{2} - 2 t + 1

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Distribute parentheses

= 3 t^{2} \cdot 3 t^{2} + 3 t^{2} (- t) + 3 t^{2} \cdot 1 - t \cdot 3 t^{2} - t (- t) - t \cdot 1 + 1 \cdot 3 t^{2} + 1 \cdot (- t) + 1 \cdot 1

Simplify

3 t^{2} \cdot 3 t^{2} + 3 t^{2} (- t) + 3 t^{2} \cdot 1 - t \cdot 3 t^{2} - t (- t) - t \cdot 1 + 1 \cdot 3 t^{2} + 1 \cdot (- t) + 1 \cdot 1 : 9 t^{4} - 6 t^{3} + 7 t^{2} - 2 t + 1

= 9 t^{4} - 6 t^{3} + 7 t^{2} - 2 t + 1

4 13 x - 6 13 x

\frac{3 h}{h}

10147 + 27

- 3 \div \frac{1}{6}

6 + 2 + 2 x + 6 y + 2 y + 1 + 2 x

What is expand (3t^2-t+1)^2 ?
The solution to expand (3t^2-t+1)^2 is 9t^4-6t^3+7t^2-2t+1