Solve (0.3a+5b)(2a-0.7b)

$$( 0.3 a + 5 b ) ( 2 a - 0.7 b )$$

Evaluate

$$\left(-\frac{7b}{10}+2a\right)\left(\frac{3a}{10}+5b\right)$$

Solution Steps

Apply the distributive property by multiplying each term of 0.3a+5b by each term of 2a-0.7b.

$$0.6a^{2}-0.21ab+10ba-3.5b^{2}$$

Combine -0.21ab and 10ba to get 9.79ab.

$$0.6a^{2}+9.79ab-3.5b^{2}$$

Expand

$$\frac{979ab}{100}+\frac{3a^{2}}{5}-\frac{7b^{2}}{2}$$

Solution Steps

Apply the distributive property by multiplying each term of 0.3a+5b by each term of 2a-0.7b.

$$0.6a^{2}-0.21ab+10ba-3.5b^{2}$$

Combine -0.21ab and 10ba to get 9.79ab.

$$0.6a^{2}+9.79ab-3.5b^{2}$$