...squared by squaring its terms: (3 n\* Q n2 IF) = ~w ' (300) 533. The square of a binomial is equal to the square of the first term plus twice the product of the first term and the second, plus the square of the second. The double product is positive or negative according...

...(III), respectively : 111. The square of the sum of two quantities equals the square of the first, plus twice the product of the first by the second, plus the square of the second. 112. The square of the difference of two quantities equals the square of the first, minus twice the...

...a+b a+b a3+ ab ab + b2 That is, the square of the sum of two numbers equals the square of the first, plus twice the product of the first by the second, plus the square of the second. 1 . Square 3 a + 2 b. We have, (3 o + 2 6)2 = (3 a)2 + 2(3 a) (2 6) + (2 6)2 Let it be required to...

...or 400+ 200+ 25, or 625. The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second. 394. Oral Exercises. Give answers: 3. 31* 5. 35 2 7. 3.5» 9. 4. 41 2 6. 45 2 8. 4.5* 10. (51) 2 11....

...+b. a + b a + b a2+ ab That is, the square of the sum of two numbers equals the square of the first, plus twice the product of the first by the second, plus the square of the second. 1. Square 3a + 2b. We have, (3 a + 2 6)2 = (3 a)2+2(3 a) (2 6) + (2 Ь)2 =9a2+12a6 + 463. Let it be...

...proof of the algebraic theorem : The square of the sum of two numbers equals the square of the first, plus twice the product of the first by the second, plus the square of the second. AREAS OF POLYGONS Ex. 43. Find the ratio of the areas of two triangles which have two sides of one...

...have the square of the difference of two quantities (5 and Vx) equals the square of the first, minus twice the product of the first by the second, plus the square of the second. What axiom is used?) 10 Vx = 20. (The radical quantity put by itself on one side. Ax. ?) Vx = 2. (Dividing...

...+ 169sry. 24. 57. Square of Sum. The result of § 56 is : The square of the sum of two terms equals the square of the first term, plus twice the product of the two terms, plus the square of the second term. 58. Square of Difference. Likewise II. O-/)2 = jr2-2jr/+/....

...general language, is the rule — The square of the sum of two quantities equals the square of the first, plus twice the product of the first by the second, plus the square of the second. Ex. (2x + 3у)2 = 4>¿ + 12xy + 9у2, Product. Since the square oí 2x is 4x2, twice the product of...

...have the square of the difference of two quantities (5 and Va;) equals the square of the first, minus twice the product of the first by the second, plus the square of the second. What axiom is used ?) 10Vx = 20. (The radical quantity put by itself on one side. Ax. ?) ^» = 2' (Dividing...