Solve left(2x^2+16x-36/2right)22/7left(x^2+49right)

$$\left( \frac{ 2 { x }^{ 2 } +16x-36 }{ 2 } \right) \frac{ 22 }{ 7 } \left( { x }^{ 2 } +49 \right)$$

Evaluate

$$\frac{22\left(x^{2}+49\right)\left(x^{2}+8x-18\right)}{7}$$

Solution Steps

Divide each term of 2x^{2}+16x-36 by 2 to get -18+8x+x^{2}.

$$\left(-18+8x+x^{2}\right)\times \frac{22}{7}\left(x^{2}+49\right)$$

Use the distributive property to multiply -18+8x+x^{2} by \frac{22}{7}.

$$\left(-\frac{396}{7}+\frac{176}{7}x+\frac{22}{7}x^{2}\right)\left(x^{2}+49\right)$$

Use the distributive property to multiply -\frac{396}{7}+\frac{176}{7}x+\frac{22}{7}x^{2} by x^{2}+49 and combine like terms.

$$\frac{682}{7}x^{2}-2772+\frac{176}{7}x^{3}+1232x+\frac{22}{7}x^{4}$$

Expand

$$\frac{22x^{4}}{7}+\frac{176x^{3}}{7}+\frac{682x^{2}}{7}+1232x-2772$$

Solution Steps

Divide each term of 2x^{2}+16x-36 by 2 to get -18+8x+x^{2}.

$$\left(-18+8x+x^{2}\right)\times \frac{22}{7}\left(x^{2}+49\right)$$

Use the distributive property to multiply -18+8x+x^{2} by \frac{22}{7}.

$$\left(-\frac{396}{7}+\frac{176}{7}x+\frac{22}{7}x^{2}\right)\left(x^{2}+49\right)$$

Use the distributive property to multiply -\frac{396}{7}+\frac{176}{7}x+\frac{22}{7}x^{2} by x^{2}+49 and combine like terms.

$$\frac{682}{7}x^{2}-2772+\frac{176}{7}x^{3}+1232x+\frac{22}{7}x^{4}$$