What is expand (2d+e+5t)(e+3t) ?

The solution to expand (2d+e+5t)(e+3t) is 2ed+6dt+e^2+8et+15t^2

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expand (2d+e+5t)(e+3t)

expand

(2 d + e + 5 t) (e + 3 t)

2 e d + 6 d t + e^{2} + 8 e t + 15 t^{2}

Solution steps

(2 d + e + 5 t) (e + 3 t)

Distribute parentheses

= 2 d e + 2 d \cdot 3 t + ee + e 3 t + 5 t e + 5 t \cdot 3 t

= 2 e d + 2 \cdot 3 d t + ee + 3 e t + 5 e t + 5 \cdot 3 tt

Simplify

2 e d + 2 \cdot 3 d t + ee + 3 e t + 5 e t + 5 \cdot 3 tt : 2 e d + 6 d t + e^{2} + 8 e t + 15 t^{2}

= 2 e d + 6 d t + e^{2} + 8 e t + 15 t^{2}

\frac{a ^{3} + b ^{3} + c ^{3}}{( a + b ) ( a + c ) ( b + c )}

\frac{x ^{3} ( 3 a x - 4 a ) - 2 ( b x ^{2} + a x - 1 )}{3 x ^{2} + 2 x - 3}

\frac{( p - 1 )}{p ^{2} ( p ^{2} - 2 p + 5 )}

\frac{( y + 1 ) ^{2}}{y}

\frac{x - 9}{( x - 4 ) ( x + 4 )}

What is expand (2d+e+5t)(e+3t) ?
The solution to expand (2d+e+5t)(e+3t) is 2ed+6dt+e^2+8et+15t^2