Solve (5+9)(b+8)(b+7)*(b+6)(5+5)+2

$$( 5 + 9 ) ( b + 8 ) ( b + 7 ) \cdot ( b + 6 ) ( 5 + 5 ) + 2$$

Evaluate

$$2\left(70\left(b+6\right)\left(b+7\right)\left(b+8\right)+1\right)$$

Solution Steps

Add 5 and 9 to get 14.

$$14\left(b+8\right)\left(b+7\right)\left(b+6\right)\left(5+5\right)+2$$

Add 5 and 5 to get 10.

$$14\left(b+8\right)\left(b+7\right)\left(b+6\right)\times 10+2$$

Multiply 14 and 10 to get 140.

$$140\left(b+8\right)\left(b+7\right)\left(b+6\right)+2$$

Use the distributive property to multiply 140 by b+8.

$$\left(140b+1120\right)\left(b+7\right)\left(b+6\right)+2$$

Apply the distributive property by multiplying each term of 140b+1120 by each term of b+7.

$$\left(140b^{2}+980b+1120b+7840\right)\left(b+6\right)+2$$

Combine 980b and 1120b to get 2100b.

$$\left(140b^{2}+2100b+7840\right)\left(b+6\right)+2$$

Apply the distributive property by multiplying each term of 140b^{2}+2100b+7840 by each term of b+6.

$$140b^{3}+840b^{2}+2100b^{2}+12600b+7840b+47040+2$$

Combine 840b^{2} and 2100b^{2} to get 2940b^{2}.

$$140b^{3}+2940b^{2}+12600b+7840b+47040+2$$

Combine 12600b and 7840b to get 20440b.

$$140b^{3}+2940b^{2}+20440b+47040+2$$

Add 47040 and 2 to get 47042.

$$140b^{3}+2940b^{2}+20440b+47042$$

Expand

$$140b^{3}+2940b^{2}+20440b+47042$$

Solution Steps

Add 5 and 9 to get 14.

$$14\left(b+8\right)\left(b+7\right)\left(b+6\right)\left(5+5\right)+2$$

Add 5 and 5 to get 10.

$$14\left(b+8\right)\left(b+7\right)\left(b+6\right)\times 10+2$$

Multiply 14 and 10 to get 140.

$$140\left(b+8\right)\left(b+7\right)\left(b+6\right)+2$$

Use the distributive property to multiply 140 by b+8.

$$\left(140b+1120\right)\left(b+7\right)\left(b+6\right)+2$$

Apply the distributive property by multiplying each term of 140b+1120 by each term of b+7.

$$\left(140b^{2}+980b+1120b+7840\right)\left(b+6\right)+2$$

Combine 980b and 1120b to get 2100b.

$$\left(140b^{2}+2100b+7840\right)\left(b+6\right)+2$$

Apply the distributive property by multiplying each term of 140b^{2}+2100b+7840 by each term of b+6.

$$140b^{3}+840b^{2}+2100b^{2}+12600b+7840b+47040+2$$

Combine 840b^{2} and 2100b^{2} to get 2940b^{2}.

$$140b^{3}+2940b^{2}+12600b+7840b+47040+2$$

Combine 12600b and 7840b to get 20440b.

$$140b^{3}+2940b^{2}+20440b+47040+2$$

Add 47040 and 2 to get 47042.

$$140b^{3}+2940b^{2}+20440b+47042$$