(picture) multiplying polynomials and simplifying expressions

Step-by-step explanation:

The simplified expression is ...

  3x(x -12x) +3x² -2(x -2)²

  = 3x(-11x) +3x² -2(x² -4x +4) . . . . . simplify contents of parentheses

  = -33x² +3x² -2x² +8x -8 . . . . . . . .eliminate parentheses

  = (-33 +3 -2)x² +8x -8 . . . . . . . . . . group the coefficients of like terms

  = -32x² +8x -8

Options (1),(3),(4) are correct and Options (2) and (5) are incorrect.

Step-by-step explanation:

In this question we do the the simplification of term -2(x-2)^2 by squaring (x-2) then we find simplified product is not a binomial.

After multiplying, the like terms are combined by adding and subtracting.

The parentheses are eliminated through multiplication and then

The final simplified product is

Therefore Options (1),(3),(4) are correct and Options (2) and (5) are not correct.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1