What is expand |4+x^3|(12x^2y^3+3x^5y^3-1) ?

The solution to expand |4+x^3|(12x^2y^3+3x^5y^3-1) is 12x^2y^3|4+x^3|+3x^5y^3|4+x^3|-|4+x^3|

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expand |4+x^3|(12x^2y^3+3x^5y^3-1)

expand

4 + x^{3} (12 x^{2} y^{3} + 3 x^{5} y^{3} - 1)

12 x^{2} y^{3} 4 + x^{3} + 3 x^{5} y^{3} 4 + x^{3} - 4 + x^{3}

Solution steps

4 + x^{3} (12 x^{2} y^{3} + 3 x^{5} y^{3} - 1)

Distribute parentheses

= 4 + x^{3} \cdot 12 x^{2} y^{3} + 4 + x^{3} \cdot 3 x^{5} y^{3} + 4 + x^{3} (- 1)

Apply minus-plus rules

+ (- a) = - a

= 12 x^{2} y^{3} 4 + x^{3} + 3 x^{5} y^{3} 4 + x^{3} - 1 \cdot 4 + x^{3}

Multiply:

1 \cdot 4 + x^{3} = 4 + x^{3}

= 12 x^{2} y^{3} 4 + x^{3} + 3 x^{5} y^{3} 4 + x^{3} - 4 + x^{3}

(a + b + c^{^{'}}) \cdot a \cdot b \cdot c

(cos (3 x + 1) sec (2 x + 1)) (12 x (2 x^{3} + 1)^{2})

7^{2} \cdot 3

\frac{d ^{2}}{d x ^{2}} ((x) (5 x cos (3 x) + 8 x sin (3 x)))

sin (k (t - k u))

What is expand |4+x^3|(12x^2y^3+3x^5y^3-1) ?
The solution to expand |4+x^3|(12x^2y^3+3x^5y^3-1) is 12x^2y^3|4+x^3|+3x^5y^3|4+x^3|-|4+x^3|