What is factor 16r^2-24rt+9t^2 ?

The solution to factor 16r^2-24rt+9t^2 is (4r-3t)^2

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factor 16r^2-24rt+9t^2

factor

16 r^{2} - 24 r t + 9 t^{2}

(4 r - 3 t)^{2}

Solution steps

16 r^{2} - 24 r t + 9 t^{2}

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

16 r^{2} = (4 r)^{2}

9 t^{2} = (3 t)^{2}

- 24 r t = - 2 \cdot 4 r \cdot 3 t

= (4 r)^{2} - 2 \cdot 4 r \cdot 3 t + (3 t)^{2}

Apply Perfect Square Formula:

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

(4 r)^{2} - 2 \cdot 4 r \cdot 3 t + (3 t)^{2} = (4 r - 3 t)^{2}

= (4 r - 3 t)^{2}

2 x^{3} 8 x y^{4}

(m - n) (m^{2} + mn + n^{2})

\frac{360}{35}

4^{2} + 9

- 6 x^{2} - 10 x + 4 - 8 x^{2} - 8 x

What is factor 16r^2-24rt+9t^2 ?
The solution to factor 16r^2-24rt+9t^2 is (4r-3t)^2