8th Class Mathematics Algebraic Expressions - 854

  • question_answer 1)                 Identify the terms, their coefficients for each of the following expressions: (i) \[5xy{{z}^{2}}-3zy\]                                                   (ii) \[1+x+{{x}^{2}}\] (iii) \[4{{x}^{2}}{{y}^{2}}-4{{x}^{2}}{{y}^{2}}{{z}^{2}}+{{z}^{2}}\]                 (iv) \[3-pq+qr-rp\] (v) \[\frac{x}{2}+\frac{y}{2}-xy\]                                                               (vi) \[0.3a-0.6ab+0.5b\] 

    Answer:

                    (i) \[5xy{{z}^{2}}-3zy\] Terms:                                                  \[5xy{{z}^{2}},\]                               \[-3zy\] Their coefficients:                            5,                            ? 3 (ii) \[1+x+{{x}^{2}}\] Terms                                                   1,                            \[x,\]                      \[{{x}^{2}}\] Their coefficients:                            1,                            1,                           1 (iii) \[4{{x}^{2}}{{y}^{2}}-4{{x}^{2}}{{y}^{2}}{{z}^{2}}+{{z}^{2}}\] Terms:                                                  \[4{{x}^{2}}{{y}^{2}},\]                  \[-4{{x}^{2}}{{y}^{2}}{{z}^{2}}\] \[{{z}^{2}}\] Their coefficients:                            4                              ?4                           1 (iv) \[3-pq+qr-rp\] Terms:                                                  3,            \[-pq,\]                 \[qr,\]   \[-rp\] Their coefficients:                            3,            ?1                           1,            ?1                 (v) \[\frac{x}{2}+\frac{y}{2}-xy\] Terms: \[\frac{x}{2},\,\frac{y}{2},\,-xy\] Their coefficients: \[\frac{1}{2},\,\frac{1}{2},\,-1\] (vi) \[0.3a-0.6\,ab\,+0.5\,b\] Terms:                                                  0.3a                        \[-0.6ab,\]           \[0.5b\] Their coefficients:                            0.3,                         \[-0.6,\]                                0.5.


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