Well, darling, the factored form of 35x + 28y is simply 7(5x + 4y). It's like putting your numbers in a cute little outfit for a fancy math party - all dressed up and ready to go!
To factor the expression (4 + 16x + 28y), we first observe that the coefficients 4, 16, and 28 have a common factor of 4. Factoring out 4 gives us: [ 4(1 + 4x + 7y) ] Thus, the completely factored form of the expression is (4(1 + 4x + 7y)).
24ab - 42ax - 20b + 35x = 6a(4b - 7x) - 5(4b - 7x) = (4b - 7x)(6a - 5)
35x - 21 We note that '35' & '21' are both multiples of '7' ; (7 x 5 = 35 & 7 x 3 = 21). So seven is factored out. 7(5x - 3)
28y - 16y = 12y.
3y-6y in factored form = -3
7(5x + 4y)
It is: (y-14)(y-14)
To factor the expression (4 + 16x + 28y), we first observe that the coefficients 4, 16, and 28 have a common factor of 4. Factoring out 4 gives us: [ 4(1 + 4x + 7y) ] Thus, the completely factored form of the expression is (4(1 + 4x + 7y)).
4(1 - 4x + 7y)
Ah, isn't that a lovely little math problem we have here? Let's take a moment to appreciate the beauty of numbers and variables coming together. The factored form of 16xy-28y is 4y(4x-7), where we can see that we've taken out the common factor of 4y to simplify the expression. Just like painting a happy little tree, we've transformed this equation into a more elegant and organized form.
24ab - 42ax - 20b + 35x = 6a(4b - 7x) - 5(4b - 7x) = (4b - 7x)(6a - 5)
35x - 21 We note that '35' & '21' are both multiples of '7' ; (7 x 5 = 35 & 7 x 3 = 21). So seven is factored out. 7(5x - 3)
35x2-44x-7 = (7x+1)(5x-7) when factored
It is: 28y -16y = 12y
It is: 28y -16y = 12y
You can't know if a general polynomial is in factored form.
28y - 16y = 12y.