13. Write the following as a polynomial without parentheses: (-2z – 9)(7z + 6) Ans. (-2z – 9)(7z + 6)=-14z^2-12z-63z-54 =-14z^2-75z-54 14. Factor the following: 36x^5-6x^2+18x^3 Ans. 36x^5+18x^3-6x^2=6x^2 (6x^3+3x-1) 15. Simplify: ((-9x^5)/(7y^2 ))^2 Ans. ((-9x^5)/(7y^2 ))^2=(81x^10)/(14y^4 ) 16. 16 is …
7. Simplify the following, combining like terms: {2[-4(x-y)+5]-(9x-y)}-[-2(y+3x)] Ans. {2[-4(x-y)+5]-(9x-y)}-[-2(y+3x)]={2[-4x+4y+5]-9x+y}-[-2y-6x] ={-8x+8y+10-9x+y}+2y+6x =-17x+9y+10+2y+6x =-11x+11y+10 11x-11y=10 8. Simplify the following, combining like terms: (5w^3-4w)(w^2-2w+9) Ans. (5w^3-4w)(w^2-2w+9)=5w^5-10w^4+45w^3-4w^3+8w^2-36w =5w^5-10w^4+41w^3+8w^2-36w 9. Simplify the following: 19+3^4-6-〖(-3+9)〗^2 Ans. 19+3^4-6-(-3+9)^2=19+81-6-36=58 10. Determine whether the ordered pair (-7,8) is …
Find the LCM of 20 and 44. Ans. The prime factorization of 44 is, 44=2×2×11 The prime factorization of 20 is, 20=2×2×5 The LCM of 20 and 44 is, 2×2×5×11=220 2. Divide and simplify the following: 24/22÷16/55 Ans. 24/22÷16/55=(24⁄22)/(16/55)=24/22×55/16=6/2×5/4=30/8=15/4=3.75 Simplify …
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