Solve (text{i})(x+3)(x+3)

$$( \text { i } ) ( x + 3 ) ( x + 3 )$$

Evaluate

$$i\left(x+3\right)^{2}$$

Solution Steps

Multiply x+3 and x+3 to get \left(x+3\right)^{2}.

$$i\left(x+3\right)^{2}$$

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.

$$i\left(x^{2}+6x+9\right)$$

Use the distributive property to multiply i by x^{2}+6x+9.

$$ix^{2}+6ix+9i$$

Expand

$$ix^{2}+6ix+9i$$

Solution Steps

Multiply x+3 and x+3 to get \left(x+3\right)^{2}.

$$i\left(x+3\right)^{2}$$

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.

$$i\left(x^{2}+6x+9\right)$$

Use the distributive property to multiply i by x^{2}+6x+9.

$$ix^{2}+6ix+9i$$