What is expand (4x^3+2x+1)(x^2+4x-3) ?

The solution to expand (4x^3+2x+1)(x^2+4x-3) is 4x^5+16x^4-10x^3+9x^2-2x-3

Popular >

expand (4x^3+2x+1)(x^2+4x-3)

expand

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

4 x^{5} + 16 x^{4} - 10 x^{3} + 9 x^{2} - 2 x - 3

Solution steps

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

Distribute parentheses

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

Simplify

4 x^{3} x^{2} + 4 x^{3} \cdot 4 x + 4 x^{3} (- 3) + 2 x x^{2} + 2 x \cdot 4 x + 2 x (- 3) + 1 \cdot x^{2} + 1 \cdot 4 x + 1 \cdot (- 3) : 4 x^{5} + 16 x^{4} - 10 x^{3} + 9 x^{2} - 2 x - 3

= 4 x^{5} + 16 x^{4} - 10 x^{3} + 9 x^{2} - 2 x - 3

(12)^{- 1} \cdot (144)^{2} \cdot (12)^{- 3} \cdot (1728)^{4}

(5 a + 10 b) (5 a - 10 b)

\frac{5 x - 5 y}{15 x y}

\frac{- sin ( x )}{cos ( x )}

sin^{2} (θ) cot (θ) sec (θ)

What is expand (4x^3+2x+1)(x^2+4x-3) ?
The solution to expand (4x^3+2x+1)(x^2+4x-3) is 4x^5+16x^4-10x^3+9x^2-2x-3