...(a-by=(ab) (ab)=a1-2ab+V That is, the square of the difference between two quantities is composed of the square of the first, minus twice the product of the first by the second, plus the square of the second. Thus, (7a3i3-12ai3)3=49aW-168a''is+144a3ii1. 3d. Let it...

...been said, 2d. To form the square of a difference, a — b, we have (a-by=(ab) (ab)=a?-2ab+t2 : That is, the square of the difference between two quantities...square of the first, minus twice the product of the frst by the second, plus the square of the second. Thus, fTVi2— 12ai3)2=49a4i4— 168a3i5+144a2i6....

...2d. To form the square of a difference, a— b, we have (a— i)3=(a— b) (a—b)=az—2ab+b3: That is, the square of the difference between two quantities...the first, minus twice the product of the first by the second, plus the square of the second. Thus, (7o3i3— 12ai3)3=49o4i4— 168a3i5+144a3i6. 3d. Let...

...(6ax + Da2x2)2 = 36aV + 1 0SaV + 8 1 aV. 39. To form the square of a difference a— b, we have That is, the square of the difference between two quantities...the first, minus twice the product of the first by the second, plus the square of the second. 1 Form the square of 2a — b. We have 2. Form the square...

...64a*62. 4. (6az+9aV)2=36a2x2+ lOSaV+Sla4**. 39. To form the square of a difference a— b, we have That is, the square of the difference between two quantities...the square of the first, minus twice the product of tht frst by the second, plus the square of the second. 1 Form the square of 2<z— b. We have (2a —...

...39. To form the square of a difference a — b, we have (aJ)2 = (a — J) (a— J)=a2— 2aJ+J2. That is, the square of the difference between two quantities is equal to the squajre of the first, minus twice the product of the first by the second, plus the square of the second....

...39. To form the square of a difference a— b, we have (a—b)2 = (a—b) (a—b)—az~2ab+bz. That is, the square of the difference between two quantities...the first, minus twice the product of the first by the second, plus the square of the second, 1. Form the square of 2a— b. We have (2a—6)2=4o2—4a6+62....

...64a*b 3 . 2d. To form the square of a difference, a—b, we have (a—b)2=(ab) (ai)=a 2 —2ai+i2: That is, the square of the difference between two quantities...the first, minus twice the product of the first by the second, plus the square of the second. Thus, (7o 2 i2—12ai 3 ) 2 =49a 4 i 4 —168a 3 i 6 +144a...

...80a*6 + 64a*62. Also, (6a*6 + 9aft3) = 36a862 + 108a5ft* + 81a2ft6 ; also, (8a3 + 7acb)2-. THEOREM II. The square of the difference between two quantities...the first, minus twice the product of the first by the tecond, plus the square of the second. Let a represent one of the quantities and b the other :...

...— b. The product is a2 — 2a6+62 ; from which we perceive, that the square of the difference of two quantities, is equal to the square of the first minus twice the product of the first by the second, plus the square of the second. 18. Multiply a+b by a — b. The product is a2 — b2 ;...