 | John Henry Walsh - Arithmetic - 1895 - 400 pages
...Multiplying by 20 202 + 20 X 5 Multiplying by 5 20 x 5 +5' 202 + 2(20 x 5) + 52 = 400 + 200 + 25 = 625. 1032. The square of the sum of two numbers is equal to the equate of the first + twice the product of the first by the second + the square of the second. 13z... | |
 | John Henry Walsh - Arithmetic - 1895 - 480 pages
...Multiplying by 20 20s + 20 x 5 Multiplying by 5 20 x 5 +5' 20* + 2(20x5) + 5' = 400 + 200 + 25 = 625. 1032. The square of the sum of two numbers is equal to the uquare of the first + twice the product of the first by the second + the square of the second. 13'... | |
 | John Henry Walsh - Arithmetic - 1899 - 260 pages
...by 20 20" + 20 x 5 Multiplying by 5 20 x 5 + 5' 202 + 2(20 xo) + 5» = 400 + 200 + 25 = 625. 1032. The square of the sum of two numbers is equal to the square of the first + twice the product of the first by the secpnd + the square of the second. 132... | |
 | George W. Evans - Algebra - 1899 - 456 pages
...is zero ; so that the entire product is a2 — ¿2. EXERCISE LIV. Prove the following theorems : 1. The square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two, plus the square of the second. (The... | |
 | John Marvin Colaw, John Kelley Elkwood - Arithmetic - 1900 - 450 pages
...3)'. 33. (if + 7) (x" - 7). 35. (m - n) (m - n). 34. (c + 4d) (U + c). 36. (x + 4) (x + 5). 37. Show that the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1900 - 200 pages
...actual multiplication, we have (a + 6)2 = (a + 6)(a + 6) = a2 + ab + bа + b2 = a2 + 2 ab + 6J. That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second... | |
 | George Egbert Fisher - Algebra - 1900 - 438 pages
...actual multiplication, we have (a + b)z=(a + 6) (a + 6) = a2 + ab + ba + 6» = o3 +2 ab + б». That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second... | |
 | James Harrington Boyd - Algebra - 1901 - 818 pages
...The first example gives the value of (a -)- b) (a -f- b), that is, of (aj-6)8; we thus find Hence, the, square of the sum of two numbers is equal to the sum of the squares of the two numbers phis twice the product of the first times the second. Again we... | |
 | George Egbert Fisher - 1901 - 622 pages
...TYPE-FORMS IN MULTIPLICATION. The Square of a Binomial. 2, By actual multiplication, we have That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second... | |
 | William James Milne - Algebra - 1901 - 462 pages
...the sum of two numbers obtained from the numbers ? 3. What signs have the terms ? 91. PRINCIPLE. — The square of the sum of two numbers is equal to the square of the first number, plus twice the product of the first and second, plus the square of the... | |
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The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number. 
