Question

Could i have some help?

Answer 1

A = 2XYx(3+6xy-2x^2y^2

Answer 2

Answer:

Factoring out Greatest Common Factor (GCF)

$6xy+12x^2y^2-4x^3y^3$

Factor out greatest common term $2xy$:

$\implies 2xy(3+6xy-2x^2y^2)$

Factoring by Grouping

$20x^2+11x-3$

$\implies a=20, b=11, c=-3$

$\implies ac=20 \cdot -3=-60$

Find 2 two numbers that multiply to ac (-60) and sum to b (11)

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Therefore, the two numbers are 15 and -4

Rewrite b as the sum of these 2 numbers:

$\implies 20x^2+15x-4x-3$

Factorize the first two terms and the last two terms separately:

$\implies 5x(4x+3)-1(4x+3)$

Factor out the common term (4x + 3):

$\implies (5x-1)(4x+3)$

Factoring by Grouping

$3x^2+3xa-2x-2a$

Factorize the first two terms and the last two terms separately:

$\implies 3x(x+a)-2(x+a)$

Factor out the common term (x + a):

$\implies (3x-2)(x+a)$