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

The solution to expand (4x^2+x-2)(x^2+x+2) is 4x^4+5x^3+7x^2-4

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

expand

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

4 x^{4} + 5 x^{3} + 7 x^{2} - 4

Solution steps

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

Distribute parentheses

= 4 x^{2} x^{2} + 4 x^{2} x + 4 x^{2} \cdot 2 + x x^{2} + xx + x \cdot 2 - 2 x^{2} - 2 x - 2 \cdot 2

Simplify

4 x^{2} x^{2} + 4 x^{2} x + 4 x^{2} \cdot 2 + x x^{2} + xx + x \cdot 2 - 2 x^{2} - 2 x - 2 \cdot 2 : 4 x^{4} + 5 x^{3} + 7 x^{2} - 4

= 4 x^{4} + 5 x^{3} + 7 x^{2} - 4

(- 3 y)^{2}

36.4 + (- 68.15)

sin (3 x) \cdot cos (3 x)

2 x (3 x^{2} - 5 x - 3)

(5 x - 4 y) - (7 x + y)

What is expand (4x^2+x-2)(x^2+x+2) ?
The solution to expand (4x^2+x-2)(x^2+x+2) is 4x^4+5x^3+7x^2-4