I need help with 43 please. Algebra 2 third edition ISBN: 978-1-64626-475-9 4)8)+ 2y)ab + b²)n or reason35. A company makes wire mesh trays by snipping squares out oftray as a polynomial.each corner of a 15 in. × 20 in. rectangular piece of mesh andfolding the sides up to form a tray. Express the volume of the36. A gardener wishes to expand his rectangular garden, which istwice as long as it is wide, by increasing the width by 2 ft andthe length by 7 ft. Express the new garden area as a polynomial.37. Use the Pythagorean theorem and the given triangle to expressthe square of the hypotenuse as a polynomial.C. Exercises33Simplify.38. (x + y)² - (x - y)²40. (x + 8)(3x + 2) + (x + 4)(x − 4)15 in.x - 142. One of the most important equations in the study of motion relatesthe change in position, Ad, of an object undergoing constant accel-eration to the time interval, At; its initial velocity, v;; and its finalvelocity, vf. The area under the velocity-time graph represents theobject's change in position, Ad. Applying the formula for the areaof a trapezoid to the entire shaded region produces Ad ==1/√(√₂+ v)At.a. Write an expression for the blue rectangular area.b. Write an expression for the green triangular area.c. Show that the sum of the two areas produces the same expression dafor Ad as the expression resulting from applying the formula forthe area of a trapezoid.x + 339. (x - y)² - (x - y)(x + y)41. (3x² - 2x + 1)(2x³x² + 5x - 2)acceleration, a =Velocityv, (t₁, v.)Velocity-Time20 in.t₁(Vin com43. Another important equation in the study of motion can be derived from the velocity-time graph.AtTime(t₂, V₁)Vfsa. The slope of the velocity-time graph represents the object's acceleration, a. Write an expression for ain terms of vi, vf, and At.(X21b. Replace (vƒ — v;) in the formula Ad = v¡At +(vv)At with an equivalent expression derived fromthe result of the previous step, and write a simplified equation for Ad in terms of a, v₁, and At.c. The change in position, Ad, can be expressed in terms of initial position, d, and final position, dƒ, asAd = df - d. Replace Ad in the result of the previous step with this expression and solve for df.44. A third important equation describing motion is derived using Ad = (v + v)At and the definition ofVf - ViAt(v₁ - v₁)(2+xS)t₂a. Solve the formula defining acceleration for At.b. Replace At in the formula Ad = (v + v)At with this expression and complete the product to derive asimplified formula for the change in position in terms of a, vf, and Vi.101567X2A + X21.6DO.8LIFETIME5.1 MULTIPLYING POLYNOMIALS

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