# What is the standard form of y= (3x-1)(7x-2) ?

Feb 6, 2016

$y = 21 {x}^{2} - 13 x + 2$

#### Explanation:

Use the FOIL method to multiply the two binomials. The FOIL method shows the order in which the terms should be multiplied. Then combine like terms in descending order of degree (power).

$\left(3 x - 1\right) \left(7 x - 2\right) =$

$\left(3 x \cdot 7 x\right) + \left(3 x \cdot - 2\right) + \left(- 1 \cdot 7 x\right) + \left(- 1 \cdot - 2\right)$

Simplify.

21x^2-6x-7x+2#

Combine like terms.

$21 {x}^{2} - 13 x + 2$

Bring back the $y$.

$y = 21 {x}^{2} - 13 x + 2$