What is factor a^2-2abt+b^2t^2 ?

The solution to factor a^2-2abt+b^2t^2 is (a-bt)^2

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factor a^2-2abt+b^2t^2

factor

a^{2} - 2 ab t + b^{2} t^{2}

(a - b t)^{2}

Solution steps

a^{2} - 2 ab t + b^{2} t^{2}

Rewrite

b^{2} t^{2}

(b t)^{2}

= a^{2} - 2 ab t + (b t)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = a, b = b t

= (a - b t)^{2}

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(- \infty) + \infty

What is factor a^2-2abt+b^2t^2 ?
The solution to factor a^2-2abt+b^2t^2 is (a-bt)^2