Question

Rewrite the following alebraic expression using the distributive property.

Answer 1

Apply the distributive property.xx+x⋅−2=8xx+x⋅-2=8Use the power rule aman=am+naman=am+n to combine exponents.x1+1+x⋅−2=8x1+1+x⋅-2=8Add 11 and 11 to get 22.x2+x⋅−2=8x2+x⋅-2=8Move −2-2 to the left of the expression x⋅−2x⋅-2.x2−2⋅x=8x2-2⋅x=8Multiply −2-2 by xx to get −2x-2x.x2−2x=8x2-2x=8Move 88 to the left side of the equation by subtracting it from both sides.x2−2x−8=0x2-2x-8=0Use the quadratic formula to find the solutions.−b±√b2−4(ac)2a-b±b2-4ac2aSubstitute the values a=1a=1, b=−2b=-2, and c=−8c=-8 into the quadratic formula and solve for xx.2±√(−2)2−4⋅(1⋅−8)2⋅12±-22-4⋅1⋅-82⋅1Simplify.Tap for fewer steps...Simplify the numerator.Tap for fewer steps...Raise −2-2 to the power of 22 to get 44.x=2±√4−4⋅(1⋅−8)2⋅1x=2±4-4⋅1⋅-82⋅1Multiply −8-8 by 11 to get −8-8.x=2±√4−4⋅−82⋅1x=2±4-4⋅-82⋅1Multiply −4-4 by −8-8 to get 3232.x=2±√4+322⋅1x=2±4+322⋅1Add 44 and 3232 to get 3636.x=2±√362⋅1x=2±362⋅1Rewrite 3636 as 6262.x=2±√622⋅1x=2±622⋅1Pull terms out from under the radical, assuming positive real numbers.x=2±62⋅1x=2±62⋅1Multiply 22 by 11 to get 22.x=2±62x=2±62Simplify 2±622±62.x=1±3x=1±3The final answer is the combination of both solutions.x=4,−2                   hope iam some help