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" Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second ; if... "
Elementary Algebra - Σελίδα 72
των Benedict J. Sestini - 1854 - 136 σελίδες
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 σελίδες
...other term (Art. 292). Thus, V^+Zpx 2—x+p, and vV— 2px-\-p2=x— p. 324. We have also seen that the square of a binomial is equal to the square of the first term, plus twice the product of the two terms, plus the square of the last term. Thus, And the square of the residual,...

Elements of Arithmetic and Algebra: For the Use of the Royal Military College

William Scott - 1844 - 568 σελίδες
...be transposed to the second member ; then x*+px=—q. Since the square of a binomial is composed of the square of the first term, plus the double product of the first term by the second, plus the square of the second term, it follows that x°+px may be regarded as the...

Elements of Algebra: Including Sturms' Theorem

Charles Davies - 1845 - 382 σελίδες
...extracting the 'square root. It has already been shown (Art. 46), that, (o + 6)2 = a2 + 2ab + 62 ; that is, The square of a binomial is equal to the square of the first term plus twice the product of the first term by the second, plus the square of tJie second. • The square of...

Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1846 - 374 σελίδες
...other term (Art. 292). Thus, vV+2px +p 2 —x+p, and Vx'—Zpx+p'=x—p. 324. We have also seen that the square of a binomial is equal to the square of the first term, plus twice the product of the two terms, plus the square of the last term. Thus, Hence, if p2 be added to...

Elements of Algebra: Including Sturm's Theorem

1847 - 386 σελίδες
...extracting the square root. It has already been shown (Art. 46), that, (a + J)2 = a2 + 2a¿ + b2 ; that is, The square of a binomial is equal to the square of the frst term plus twice the product of the first term by the second, pías the square of the second. The...

Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Μέρος 1

Joseph Ray - 1848 - 252 σελίδες
...the principle, by which the first member of this equation may always be made a perfect square. Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second ; if we consider x2-{-2px...

Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - 1852 - 408 σελίδες
...the principle by which the first member of this equation may always be made a perfect square. Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second ; if we consider x^-\-2px...

Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - 1848 - 250 σελίδες
...the principle, by which the first member of this equation may always be made a perfect square. Since the square of a binomial is equal to the square of the first term, plus twice the product cf the first term by the second, plus the square of the second ; if we consider x*-\-2px...

Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Μέρος 2

Joseph Ray - 1852 - 422 σελίδες
...the principle by which tl a first member of this equation may always be made a perfect square. Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second ; if we consider x^-\-2px...

Ray's Algebra, First Book: Primary Elements of Algebra, for Common ..., Βιβλίο 1

Joseph Ray - 1866 - 252 σελίδες
...explain the principle by which the first member of this equation may always be made a perfect square. The square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second. If, now, we consider...




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