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Popular Álgebra >

expandir pisin(b)k(cos^2(a)+2cos(a)+k^2)

Solução

expandir

π \cdot sin (b) \cdot k \cdot (cos^{2} (a) + 2 \cdot cos (a) + k^{2})

Solução

πk cos^{2} (a) sin (b) + 2 πk sin (b) cos (a) + π k^{3} sin (b)

Passos da solução

π sin (b) k (cos^{2} (a) + 2 cos (a) + k^{2})

= πk sin (b) (cos^{2} (a) + 2 cos (a) + k^{2})

Aplicar a seguinte regra dos produtos notáveis

= π sin (b) k cos^{2} (a) + π sin (b) k \cdot 2 cos (a) + π sin (b) k k^{2}

= πk sin (b) cos^{2} (a) + 2 πk sin (b) cos (a) + π k^{2} k sin (b)

π k^{2} k sin (b) = π k^{3} sin (b)

= πk cos^{2} (a) sin (b) + 2 πk sin (b) cos (a) + π k^{3} sin (b)

Exemplos populares

expandir solve(x^3-9x-7=0)

e x p an d so l v e (x^{3} - 9 x - 7 = 0)

expandir ((25-5x)(x+1))/(2x)

e x p an d \frac{( 25 - 5 x ) ( x + 1 )}{2 x}

expandir (8(s+2))/(s^2(s+2)^2-16)

e x p an d \frac{8 ( s + 2 )}{s ^{2} ( s + 2 ) ^{2} - 16}

expandir xln(x)-yln(y)-(x-y)ln(x-y)

e x p an d x ln (x) - y ln (y) - (x - y) ln (x - y)

expandir (3x(10x+40))/(x+10)

e x p an d \frac{3 x ( 10 x + 40 )}{x + 10}