Solve (9a^2-1/49b^2) (3a-1/7b)

Evaluate

(9 a^{2} - \frac{1}{49} b^{2}) (3 a - \frac{1}{7} b)

Apply the distributive property

9 a^{2} \times 3 a - 9 a^{2} \times \frac{1}{7} b - \frac{1}{49} b^{2} \times 3 a - (- \frac{1}{49} b^{2} \times \frac{1}{7} b)

Multiply the terms

More Steps

27 a^{3} - 9 a^{2} \times \frac{1}{7} b - \frac{1}{49} b^{2} \times 3 a - (- \frac{1}{49} b^{2} \times \frac{1}{7} b)

Multiply the numbers

27 a^{3} - \frac{9}{7} a^{2} b - \frac{1}{49} b^{2} \times 3 a - (- \frac{1}{49} b^{2} \times \frac{1}{7} b)

Multiply the numbers

27 a^{3} - \frac{9}{7} a^{2} b - \frac{3}{49} b^{2} a - (- \frac{1}{49} b^{2} \times \frac{1}{7} b)

Multiply the terms

More Steps

27 a^{3} - \frac{9}{7} a^{2} b - \frac{3}{49} b^{2} a - (- \frac{1}{343} b^{3})

Solution

27 a^{3} - \frac{9}{7} a^{2} b - \frac{3}{49} b^{2} a + \frac{1}{343} b^{3}

Simplify the expression