Math  /  Algebra

QuestionFind (r+s)(x)(r+s)(x) and (rs)(x)(r \cdot s)(x) for r(x)=4x+5r(x)=4x+5 and s(x)=6xs(x)=6x, then evaluate (rs)(1)(r-s)(1).

Studdy Solution
Subtract s()s() from r()r() to calculate (rs)()(r-s)().
(rs)()=96=3(r-s)() =9 -6 =3So, the expressions for (r+s)(x)(r+s)(x) and (rs)(x)(r \cdot s)(x) are 10x+510x +5 and 24x2+30x24x^2 +30x respectively, and (rs)()(r-s)() evaluates to 33.

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