Question

Could i have some help?

if you want another 50 you could answer the question i asked before this one lol

Answer 1

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)`