Solve left(x+53right)left(x+55right)left(x+57right)left(x+59right)

$$\left( x+53 \right) \left( x+55 \right) \left( x+57 \right) \left( x+59 \right)$$

Expand

$$x^{4}+224x^{3}+18806x^{2}+701344x+9803145$$

Solution Steps

Apply the distributive property by multiplying each term of x+53 by each term of x+55.

$$\left(x^{2}+55x+53x+2915\right)\left(x+57\right)\left(x+59\right)$$

Combine 55x and 53x to get 108x.

$$\left(x^{2}+108x+2915\right)\left(x+57\right)\left(x+59\right)$$

Apply the distributive property by multiplying each term of x^{2}+108x+2915 by each term of x+57.

$$\left(x^{3}+57x^{2}+108x^{2}+6156x+2915x+166155\right)\left(x+59\right)$$

Combine 57x^{2} and 108x^{2} to get 165x^{2}.

$$\left(x^{3}+165x^{2}+6156x+2915x+166155\right)\left(x+59\right)$$

Combine 6156x and 2915x to get 9071x.

$$\left(x^{3}+165x^{2}+9071x+166155\right)\left(x+59\right)$$

Apply the distributive property by multiplying each term of x^{3}+165x^{2}+9071x+166155 by each term of x+59.

$$x^{4}+59x^{3}+165x^{3}+9735x^{2}+9071x^{2}+535189x+166155x+9803145$$

Combine 59x^{3} and 165x^{3} to get 224x^{3}.

$$x^{4}+224x^{3}+9735x^{2}+9071x^{2}+535189x+166155x+9803145$$

Combine 9735x^{2} and 9071x^{2} to get 18806x^{2}.

$$x^{4}+224x^{3}+18806x^{2}+535189x+166155x+9803145$$

Combine 535189x and 166155x to get 701344x.

$$x^{4}+224x^{3}+18806x^{2}+701344x+9803145$$

Evaluate

$$\left(x+53\right)\left(x+55\right)\left(x+57\right)\left(x+59\right)$$

Solution Steps

Apply the distributive property by multiplying each term of x+53 by each term of x+55.

$$\left(x^{2}+55x+53x+2915\right)\left(x+57\right)\left(x+59\right)$$

Combine 55x and 53x to get 108x.

$$\left(x^{2}+108x+2915\right)\left(x+57\right)\left(x+59\right)$$

Apply the distributive property by multiplying each term of x^{2}+108x+2915 by each term of x+57.

$$\left(x^{3}+57x^{2}+108x^{2}+6156x+2915x+166155\right)\left(x+59\right)$$

Combine 57x^{2} and 108x^{2} to get 165x^{2}.

$$\left(x^{3}+165x^{2}+6156x+2915x+166155\right)\left(x+59\right)$$

Combine 6156x and 2915x to get 9071x.

$$\left(x^{3}+165x^{2}+9071x+166155\right)\left(x+59\right)$$

Apply the distributive property by multiplying each term of x^{3}+165x^{2}+9071x+166155 by each term of x+59.

$$x^{4}+59x^{3}+165x^{3}+9735x^{2}+9071x^{2}+535189x+166155x+9803145$$

Combine 59x^{3} and 165x^{3} to get 224x^{3}.

$$x^{4}+224x^{3}+9735x^{2}+9071x^{2}+535189x+166155x+9803145$$

Combine 9735x^{2} and 9071x^{2} to get 18806x^{2}.

$$x^{4}+224x^{3}+18806x^{2}+535189x+166155x+9803145$$

Combine 535189x and 166155x to get 701344x.

$$x^{4}+224x^{3}+18806x^{2}+701344x+9803145$$