Question

Factorise 1. 3b^2-6b=3
2. 32x^2-48xy+18y^2

Answer 1

Answer:

Step-by-step explanation:

(y + 9)(y - 2) = 4y

Simplifying

(y + 9)(y + -2) = 4y

Reorder the terms:

(9 + y)(y + -2) = 4y

Reorder the terms:

(9 + y)(-2 + y) = 4y

Multiply (9 + y) * (-2 + y)

(9(-2 + y) + y(-2 + y)) = 4y

((-2 * 9 + y * 9) + y(-2 + y)) = 4y

((-18 + 9y) + y(-2 + y)) = 4y

(-18 + 9y + (-2 * y + y * y)) = 4y

(-18 + 9y + (-2y + y2)) = 4y

Combine like terms: 9y + -2y = 7y

(-18 + 7y + y2) = 4y

Solving

-18 + 7y + y2 = 4y

Solving for variable 'y'.

Reorder the terms:

-18 + 7y + -4y + y2 = 4y + -4y

Combine like terms: 7y + -4y = 3y

-18 + 3y + y2 = 4y + -4y

Combine like terms: 4y + -4y = 0

-18 + 3y + y2 = 0

Factor a trinomial.

(-6 + -1y)(3 + -1y) = 0