What is expand (x+3)sqrt(x^4+4x^3-5) ?

The solution to expand (x+3)sqrt(x^4+4x^3-5) is xsqrt(x^4+4x^3-5)+3sqrt(x^4+4x^3-5)

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expand (x+3)sqrt(x^4+4x^3-5)

expand

(x + 3) x^{4} + 4 x^{3} - 5

x x^{4} + 4 x^{3} - 5 + 3 x^{4} + 4 x^{3} - 5

Solution steps

(x + 3) x^{4} + 4 x^{3} - 5

= x^{4} + 4 x^{3} - 5 (x + 3)

Apply the distributive law:

a (b + c) = ab + a c

x^{4} + 4 x^{3} - 5 (x + 3) = x^{4} + 4 x^{3} - 5 x + x^{4} + 4 x^{3} - 5 \cdot 3

= x^{4} + 4 x^{3} - 5 x + x^{4} + 4 x^{3} - 5 \cdot 3

= x x^{4} + 4 x^{3} - 5 + 3 x^{4} + 4 x^{3} - 5

(6 - 10 x^{2} - 5 x^{3}) - (11 x^{3} + 14 x^{2} - 3 x^{5})

\frac{10 ab - 15 b ^{2}}{4 a ^{2} - 6 ab}

4 x^{2} - 5 x y - 6 y^{2}

cos (x) csc (x)

What is expand (x+3)sqrt(x^4+4x^3-5) ?
The solution to expand (x+3)sqrt(x^4+4x^3-5) is xsqrt(x^4+4x^3-5)+3sqrt(x^4+4x^3-5)