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" In any trinomial square (Art. 108), the middle term is twice the product of the square roots of the first and third terms... "
A Complete Course in Algebra - Page 213
by Webster Wells - 1885
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GRE Prep Course

Jeff Kolby - Education - 2021 - 612 pages
...y2 = (x For example, x2 + 6x + 9 = x2 + 2(3x) + 32 = (x + 3) . Note, in a perfect square trinomial, the middle term is twice the product of the square roots of the outer terms. Example: If r2 - 2rs + s2 = 4 , then (r - s)6 = (A) -4 (B) 4 (C) 8 (D) 16 (E) 64 r2 -2rs...
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GMAT Prep Course

Jeff Kolby - Study Aids - 2024 - 586 pages
...+ y2=(xFor example, x2 + 6x + 9 = x1 + 2(3jc) + 32 = (x + 3) . Note, in a perfect square trinomial, the middle term is twice the product of the square roots of the outer terms. Example 4: If r2 - 2rs + s2 =4, then (r - s] = (A) -4 (B) 4 (C) 8 (D) 16 (E) 64 r2 - 2rs...
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SAT Prep Course EBook

Jeff Kolby - Reference - 2021 - 590 pages
...y2 = (x For example, x2 + 6x + 9 = x2 + 2(3jc) + 32 = (x + 3) . Note, in a perfect square trinomial, the middle term is twice the product of the square roots of the outer terms. Example 4: If r2 - 2rs + s2 = 4 , then (r - s) = (A) -4 (B) 4 (C) 8 (D) 16 (E) 64 r -2rs...
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An Introduction to Engineering Mathematics

288 pages
...that the factors are (2x+ 1) (2x+ 3). 57. If in an expression consisting of three terms, the second term is twice the product of the square roots of the first and third terms, then the expression is called a perfect square. It is the square of the sum or difference (according...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 260 pages
...trinomial can be separated into two binomial factors, when the extremes are squares and positive, and the middle term is twice the product of the square roots of the extremes. Sea Articles 80 and 81. Thus: o«+2a6+62=(a+6)(a+6). ' . a2— 2a6+62=(a— 6) (a— 6)....
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 252 pages
...trinomial can be separated into two binomial factors, when the extremes are squares and positive, and the middle term is twice the product of the square roots of the extremes. See Articles 79 and 80. Thus: o2+2a6+62=(a+6)(a+6). a2— 2ab+b1=(a— 6) (a— 6). 2d. Any...
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