What is (x-3)^2+x(x+9) ?

The solution to (x-3)^2+x(x+9) is 2x^2+3x+9

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simplify (x-3)^2+x(x+9)

simplify

(x - 3)^{2} + x (x + 9)

2 x^{2} + 3 x + 9

Solution steps

(x - 3)^{2} + x (x + 9)

Expand

(x - 3)^{2} : x^{2} - 6 x + 9

= x^{2} - 6 x + 9 + x (x + 9)

Expand

x (x + 9) : x^{2} + 9 x

= x^{2} - 6 x + 9 + x^{2} + 9 x

Group like terms

= x^{2} + x^{2} - 6 x + 9 x + 9

Add similar elements:

x^{2} + x^{2} = 2 x^{2}

= 2 x^{2} - 6 x + 9 x + 9

Add similar elements:

- 6 x + 9 x = 3 x

= 2 x^{2} + 3 x + 9

- i \times (- i)

2 \times (- \frac{1}{2})

1 \times (- 2)

Γ (\frac{3}{2})

- 4 \times \frac{1}{2}