Solve (h+3)*(2h-3)*(-h-4)

$$( h + 3 ) \cdot ( 2 h - 3 ) \cdot ( - h - 4 )$$

Evaluate

$$-\left(2h-3\right)\left(h+3\right)\left(h+4\right)$$

Solution Steps

Apply the distributive property by multiplying each term of h+3 by each term of 2h-3.

$$\left(2h^{2}-3h+6h-9\right)\left(-h-4\right)$$

Combine -3h and 6h to get 3h.

$$\left(2h^{2}+3h-9\right)\left(-h-4\right)$$

Apply the distributive property by multiplying each term of 2h^{2}+3h-9 by each term of -h-4.

$$2h^{2}\left(-h\right)-8h^{2}+3h\left(-h\right)-12h-9\left(-h\right)+36$$

Multiply -9 and -1 to get 9.

$$2h^{2}\left(-h\right)-8h^{2}+3h\left(-h\right)-12h+9h+36$$

Combine -12h and 9h to get -3h.

$$2h^{2}\left(-h\right)-8h^{2}+3h\left(-h\right)-3h+36$$

Multiply 2 and -1 to get -2.

$$-2h^{2}h-8h^{2}+3h\left(-1\right)h-3h+36$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$-2h^{3}-8h^{2}+3h\left(-1\right)h-3h+36$$

Multiply h and h to get h^{2}.

$$-2h^{3}-8h^{2}+3h^{2}\left(-1\right)-3h+36$$

Multiply 3 and -1 to get -3.

$$-2h^{3}-8h^{2}-3h^{2}-3h+36$$

Combine -8h^{2} and -3h^{2} to get -11h^{2}.

$$-2h^{3}-11h^{2}-3h+36$$

Expand

$$36-3h-11h^{2}-2h^{3}$$

Solution Steps

Apply the distributive property by multiplying each term of h+3 by each term of 2h-3.

$$\left(2h^{2}-3h+6h-9\right)\left(-h-4\right)$$

Combine -3h and 6h to get 3h.

$$\left(2h^{2}+3h-9\right)\left(-h-4\right)$$

Apply the distributive property by multiplying each term of 2h^{2}+3h-9 by each term of -h-4.

$$2h^{2}\left(-h\right)-8h^{2}+3h\left(-h\right)-12h-9\left(-h\right)+36$$

Multiply -9 and -1 to get 9.

$$2h^{2}\left(-h\right)-8h^{2}+3h\left(-h\right)-12h+9h+36$$

Combine -12h and 9h to get -3h.

$$2h^{2}\left(-h\right)-8h^{2}+3h\left(-h\right)-3h+36$$

Multiply 2 and -1 to get -2.

$$-2h^{2}h-8h^{2}+3h\left(-1\right)h-3h+36$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$-2h^{3}-8h^{2}+3h\left(-1\right)h-3h+36$$

Multiply h and h to get h^{2}.

$$-2h^{3}-8h^{2}+3h^{2}\left(-1\right)-3h+36$$

Multiply 3 and -1 to get -3.

$$-2h^{3}-8h^{2}-3h^{2}-3h+36$$

Combine -8h^{2} and -3h^{2} to get -11h^{2}.

$$-2h^{3}-11h^{2}-3h+36$$