 | Frederic A. Adams - 1846 - 230 pages
...difference of their squares, to find the greater and the less number, The product of the sum and the difference of two numbers is equal to the difference of their squares. Take the two numbers, 6 and 9 ; their sum is 15 ; their difference 3 ; 15X3=45. The square of 6 is... | |
 | James Bates Thomson - 1847 - 434 pages
...divisible into .two, or three, or faiy squares. Thus 30 is equal to 25+4+1 ; 33=16+16+1 ; 63=49+9+4+1. 19. The product of the sum and difference of two numbers, is equal to the difference of their squares. Thus, (5+3)X(5 — 3)= 16; also 5* — 32=16. 20. If two numbers are such, that their squares, when... | |
 | James Bates Thomson - 1847 - 426 pages
...divisible into two, or three, or four squares. Thus 30 is equal to 25+4+1 ; 33=16+16+1 ; 63=49+9+4+1. 19. The product of the sum and difference of two numbers, is equal to the diference of their squares. Thus, (5+3)X(5— 3).- 16; also 52 — 32=16. 20. If two numbers are such,... | |
 | James Bates Thomson - 1848 - 434 pages
...divisible into two, or three, or four •quares. Thus 30 is equal to 25+4+1 ; 33=16+16+1 ; 63=49+9+4+1. 19. The product of the sum and difference of two numbers, is equal to the difference of their squares. Thus, (5+3)X(5 — 3)=16; also 5s — 32=16. 20. If two numbers are such, that their squares, when... | |
 | James Bates Thomson - 1848 - 432 pages
...divisible into two, or three, or four squares. Thus 30 is equal to 25+4+1; 33=16+16+1; 63=49+9+4+1. 19. The product of the sum and difference of two numbers, is equal to the difference of their squares. Thus, (5+3)X(5—3)=16; also 52—32=16. 20. If two numbers are such, that their squares, when added... | |
 | Daniel Adams - 1848 - 342 pages
...of different remainders cannot exceed the number of units in the divisor less one. Ex. 11. NOTE. — The product of the sum and difference of two numbers is equal to the difference of their squares. Ex. 28. NOTB. — From half of the sum of the three sides of a triangle, subtract each side severally.... | |
 | Daniel Adams - 1848 - 324 pages
...of different remainders cannot exceed the number of units in the divisor less one. Ex. 11. NOTE. — The product of the sum and difference of two numbers Is equal to the difference of their squares. Ex. 28. NOTE. — From half of the sum of the three sides of a triangle, subtract each side severally.... | |
 | Uriah Parke - 1849 - 414 pages
...being admitted ? ( Ans. ANN is HENRY'S wife, and MARY is RICHARD'S. \ HANNAH is ROBERT'S. Premising that " The product of the sum and difference of two...numbers is equal to the difference of their squares," and from the question we learn that the square of the yards bought by each wife is 63 less than the... | |
 | Stephen Chase - 1849 - 348 pages
...their product. §92. Multiply a+J by a— b. We have, (a+b)(a— b) = a2— Js. Hence, THEOB. III. The product of the sum and difference of two numbers is equal to the difference of their squares. See Geom. § 185. Cor. ix. 2. (B+x)(R—x) — v'lmt? (A£+£C)(AB-£C)? 3. (sin a cos Jf-6in J cos... | |
 | Uriah Parke - 1850 - 402 pages
...being admitted ? \ HANNAH is ROBERT'S. ( Jim. ANN is HENRY'S wife, and MARY is RICHARD'S. Premising that " The product of the sum and difference of two...numbers is equal to the difference of their squares," and from the question we learn that the square of the yards bought by each wife is 63 less than the... | |
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The product of the sum and difference of two numbers is equal to the difference of their squares. 
