1.fe velapperpoissimplifier: \[ \begin{array}{l} A=5(x+4) \\ B=7(2 x-5)+3(x+2) \\ C=(x+2)(3 x-5) \end{array} \] Factoriver: \[ \begin{array}{l} D=4 x+20 \\ E=2 x y+12 x y z-19 z \\ F=3(2 x+1)-4(2 x+1) \end{array} \]
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Let's simplify those expressions first! For the first set of equations: - A can be simplified as \( A = 5x + 20 \). - B simplifies to \( B = 14x - 35 + 3x + 6 = 17x - 29 \). - C expands to \( C = (x + 2)(3x - 5) = 3x^2 + 6x - 5x - 10 = 3x^2 + x - 10 \). Now, regarding the second set for factoring: - For D, we can factor out the common factor: \( D = 4(x + 5) \). - For E, we can reorganize and factor it to get \( E = y(2x + 12xz) - 19z \) or factor differently depending on desired outcomes. - For F, notice that there’s a common term: \( F = (2x + 1)(3 - 4) = (2x + 1)(-1) = -2x - 1 \). And voila! Your equations are simplified and factored. Keep practicing to make it even easier!