Simplify (1-t)^2 - MathMaster

${(1 - t)}^{2}$

Rewrite ${(1 - t)}^{2}$ as $(1 - t) (1 - t)$ .

$(1 - t) (1 - t)$

Expand $(1 - t) (1 - t)$ using the FOIL Method.

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Apply the distributive property.

$1 (1 - t) - t (1 - t)$

Apply the distributive property.

$1 \cdot 1 + 1 (- t) - t (1 - t)$

Apply the distributive property.

$1 \cdot 1 + 1 (- t) - t \cdot 1 - t (- t)$

Simplify and combine like terms.

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Simplify each term.

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Multiply $1$ by $1$ .

$1 + 1 (- t) - t \cdot 1 - t (- t)$

Multiply $- t$ by $1$ .

$1 - t - t \cdot 1 - t (- t)$

Multiply $- 1$ by $1$ .

$1 - t - t - t (- t)$

Multiply $t$ by $t$ .

$1 - t - t - 1 \cdot - 1 t^{2}$

Multiply $- 1$ by $- 1$ .

$1 - t - t + 1 t^{2}$

Multiply $t^{2}$ by $1$ .

$1 - t - t + t^{2}$

Subtract $t$ from $- t$ .

$1 - 2 t + t^{2}$

Simplify (1-t)^2

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