The Common School Algebra
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In our eReader you can find the full English version of the book. Read The Common School Algebra Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Common School Algebra
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To quickly assess the difficulty of the text, read a short excerpt:
11. 136^rf.
4. 2c3d 8. A4 63f2. 12. 15a2 62c2d2.
^ 8 j REDUCTION OF SIMILAR TERMS. 55 SECTION VIII.
REDUCTION OF SIMILAR TERMS.
>». . • '^ Art. 33. Similar terms arc those which are entirely alike with regard to the letters and exponents, N. B. Similarity of terms is wholly independent of the algebraic signs -j- and —, the numerical coefficients, and the order of the letters. Thus, a^ h and Sa^h are simi- lar ; so also are Sx^y^ and By^x^.
Any polynomial which contains similar terms, may al- wa...ys be reduced to a smaller number of terms. Of this the student has already had numerous examples in the reduction of equations^ Let us take the polynomial 2a^b^ -\-^m^n^-\-7 a^P — m^ n^. The two terms 2 a^ P and 7 a^ b^ are similar, and it is evident that 7 times a quantity added to twice the same quantity, make 9 times that quantity ; therefore, in- stead of 2 a^ 53 _|_ 7 fjfi 53^ ^rQ jj^^y ^rite 9 ^2 53. Again, Im^w^ and — m^n^ are similar, and 4 times a quantity liminished by once the same quantity, leaves 3 times that quantity ; hence, instead of 4 m^ n^ — m^ n^, we may put Im^n^.
What to read after The Common School Algebra?
You can find similar books in the "Read Also" column, or choose other free books by Thomas Sherwin to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
11. 136^rf.
4. 2c3d 8. A4 63f2. 12. 15a2 62c2d2.
^ 8 j REDUCTION OF SIMILAR TERMS. 55 SECTION VIII.
REDUCTION OF SIMILAR TERMS.
>». . • '^ Art. 33. Similar terms arc those which are entirely alike with regard to the letters and exponents, N. B. Similarity of terms is wholly independent of the algebraic signs -j- and —, the numerical coefficients, and the order of the letters. Thus, a^ h and Sa^h are simi- lar ; so also are Sx^y^ and By^x^.
Any polynomial which contains similar terms, may al- wa...ys be reduced to a smaller number of terms. Of this the student has already had numerous examples in the reduction of equations^ Let us take the polynomial 2a^b^ -\-^m^n^-\-7 a^P — m^ n^. The two terms 2 a^ P and 7 a^ b^ are similar, and it is evident that 7 times a quantity added to twice the same quantity, make 9 times that quantity ; therefore, in- stead of 2 a^ 53 _|_ 7 fjfi 53^ ^rQ jj^^y ^rite 9 ^2 53. Again, Im^w^ and — m^n^ are similar, and 4 times a quantity liminished by once the same quantity, leaves 3 times that quantity ; hence, instead of 4 m^ n^ — m^ n^, we may put Im^n^.
What to read after The Common School Algebra?
You can find similar books in the "Read Also" column, or choose other free books by Thomas Sherwin to read onlineMoreLess
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