Factorar o descomponer: (1) \( a^{2}-10 a+25= \) (2) \( 16+40 x^{2}+25 x^{4}= \) (3) \( 4 x^{2}-12 x y+9 y^{2}= \) (4) \( 121+198 x^{6}+81 x^{12}= \) (5) \( 49 m^{6}-70 a m^{3} n^{2}+25 a^{2} n^{4}= \)

Roger was told to think of a number, add 20 , then divide the result by 3 . The answer was Jower than Roger's original number. Deteruine the range of possible numbers Roger may have originally chosen.

1) \( \frac{10 x+8}{3 a-b}-\frac{9 x+5}{3 a-b}= \)

In the \( x y \)-plane, a parabola has vertex \( (9,-14) \) and intersects the \( x \)-axis at two points. If the equation of the parabola is written in the form \( y=a x^{2}+b x+c \) where \( a, b \), and \( c \) are constants, which of the following could be the value of \( a+b+c \) ? (A) -23 (B) -19 (D) -12

Subtract the polynomials: \( (5x^{3} + 2x^{2} - 7) - (3x^{3} - x^{2} + 4) \)

5.7 Determine the equation of \( h \) if \( h(x)=g(x+1)-2 \)