Question

3) (y-9)(3y-1)-(2y+1)(5y-7) 4) (4x-1)(4x-3)-(2x-10)(8x+1)

Answer 1

1)=3y^2-y-27y+9-(10y^2-14y+5y-7)=3y^2-y-27y+9-10y^2+14y-5y+7)=-7y^2-19y+16
2)16x^2-12x-4x+3-(16x^2+2x-80x-10)=16x^2-12x-4x+3-16x^2-2x+80x+10=62x+13

Answer 2

Let's simplify each of these expressions:

1. (y-9)(3y-1)-(2y+1)(5y-7)

First, distribute the terms within each set of parentheses:

(y * 3y) + (y * (-1)) + (-9 * 3y) + (-9 * (-1)) - ((2y * 5y) + (2y * (-7)) + (1 * 5y) + (1 * (-7)))

Now, simplify each term:

(3y^2 - y - 27y + 9) - (10y^2 - 14y + 5y - 7)

Next, combine like terms:

(3y^2 - 10y^2) + (-y - 14y + 5y) + (9 - 7)

Now, perform the subtractions:

-7y^2 - 10y + 2

So, the simplified expression is: -7y^2 - 10y + 2

2. (4x-1)(4x-3)-(2x-10)(8x+1)

First, distribute the terms within each set of parentheses:

(4x * 4x) + (4x * (-3)) + (-1 * 4x) + (-1 * (-3)) - ((2x * 8x) + (2x * 1) + (-10 * 8x) + (-10 * 1))

Now, simplify each term:

(16x^2 - 12x - 4x + 3) - (16x^2 + 2x - 80x - 10)

Next, combine like terms:

(16x^2 - 16x^2) + (-12x - 4x + 2x - 80x) + (3 - 10)

Now, perform the subtractions:

0 - 94x - 7

So, the simplified expression is: -94x - 7