Solve (x^2+12x+27)(x^2+12x+35)+2033

$$( x ^ { 2 } + 12 x + 27 ) ( x ^ { 2 } + 12 x + 35 ) + 2033$$

Evaluate

$$\left(x+3\right)\left(x+5\right)\left(x+7\right)\left(x+9\right)+2033$$

Solution Steps

Use the distributive property to multiply x^{2}+12x+27 by x^{2}+12x+35 and combine like terms.

$$x^{4}+24x^{3}+206x^{2}+744x+945+2033$$

Add 945 and 2033 to get 2978.

$$x^{4}+24x^{3}+206x^{2}+744x+2978$$

Expand

$$x^{4}+24x^{3}+206x^{2}+744x+2978$$

Solution Steps

Use the distributive property to multiply x^{2}+12x+27 by x^{2}+12x+35 and combine like terms.

$$x^{4}+24x^{3}+206x^{2}+744x+945+2033$$

Add 945 and 2033 to get 2978.

$$x^{4}+24x^{3}+206x^{2}+744x+2978$$