What is expand (2pik^5+5k^4)(pik+3) ?

The solution to expand (2pik^5+5k^4)(pik+3) is 2pi^2k^6+11pik^5+15k^4

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expand (2pik^5+5k^4)(pik+3)

expand

(2 π k^{5} + 5 k^{4}) (πk + 3)

2 π^{2} k^{6} + 11 π k^{5} + 15 k^{4}

Solution steps

(2 π k^{5} + 5 k^{4}) (πk + 3)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = 2 π k^{5}, b = 5 k^{4}, c = πk, d = 3

= 2 π k^{5} πk + 2 π k^{5} \cdot 3 + 5 k^{4} πk + 5 k^{4} \cdot 3

= 2 ππ k^{5} k + 2 \cdot 3 π k^{5} + 5 π k^{4} k + 5 \cdot 3 k^{4}

Simplify

2 ππ k^{5} k + 2 \cdot 3 π k^{5} + 5 π k^{4} k + 5 \cdot 3 k^{4} : 2 π^{2} k^{6} + 11 π k^{5} + 15 k^{4}

= 2 π^{2} k^{6} + 11 π k^{5} + 15 k^{4}

53.39 (1 - e^{- 0.18355 t})

\frac{- 2 x - h}{x ^{2} ( x + h ) ^{2}}

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\frac{( 5 - b x ^{2} ) ^{5}}{10 b}

What is expand (2pik^5+5k^4)(pik+3) ?
The solution to expand (2pik^5+5k^4)(pik+3) is 2pi^2k^6+11pik^5+15k^4