What is expand 5(e+3h)^2 ?

The solution to expand 5(e+3h)^2 is 45h^2+30eh+5e^2

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expand 5(e+3h)^2

expand

5 (e + 3 h)^{2}

45 h^{2} + 30 e h + 5 e^{2}

Solution steps

5 (e + 3 h)^{2}

(e + 3 h)^{2} = e^{2} + 6 e h + 9 h^{2}

= 5 (9 h^{2} + 6 e h + e^{2})

Distribute parentheses

= 5 e^{2} + 5 \cdot 6 e h + 5 \cdot 9 h^{2}

Simplify

5 e^{2} + 5 \cdot 6 e h + 5 \cdot 9 h^{2} : 5 e^{2} + 30 e h + 45 h^{2}

= 5 e^{2} + 30 e h + 45 h^{2}

Rewrite in standard form

= 45 h^{2} + 30 e h + 5 e^{2}

\frac{x ^{3}}{( x ^{2} - 4 ) ^{4}}

\frac{2 x - 3 x ^{2}}{2 ( 9 + x ^{3} )}

(1, 2, - 6) x (2, 3, 1)

, (1 - 2 + 5) (1 + 1 + 0)

(2 x) (1 + ln (x))