What is factor 2ehT+2ghT+eT^2+gT^2 ?

The solution to factor 2ehT+2ghT+eT^2+gT^2 is T(g+e)(2h+T)

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factor 2ehT+2ghT+eT^2+gT^2

factor

2 e h T + 2 g h T + e T^{2} + g T^{2}

T (g + e) (2 h + T)

Solution steps

2 e h T + 2 g h T + e T^{2} + g T^{2}

Apply exponent rule:

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

T^{2} = TT, T^{2} = TT

= 2 e h T + 2 g h T + e TT + g TT

Factor out common term

T

= T (2 e h + 2 g h + e T + g T)

Factor

2 e h + 2 g h + g T + e T : (g + e) (2 h + T)

= T (g + e) (2 h + T)

\frac{- 21}{7}

2 y t e^{y} + 2 t e^{y}

5 x y + 10 x a + 2 yz + 4 a z

3 x^{3} + 35 x^{2} + 96 - 36

2 200 - 102

What is factor 2ehT+2ghT+eT^2+gT^2 ?
The solution to factor 2ehT+2ghT+eT^2+gT^2 is T(g+e)(2h+T)