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  • Multiply the binomials : (3/4 a^2 + 3b^2) and 4(a^2 - 2/3 b^2)

Q :  1        Multiply the binomials. 

                (vi)   \small (\frac{3}{4}a^2+3b^2)   and   \small 4(a^2-\frac{2}{3}b^2)

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best_answer

Multiplication can be done as follows

\small (\frac{3}{4}a^2+3b^2)   X     \small (4a^2-\frac{8}{3}b^2)     =    \frac{3a^{2}}{4} \times 4a^{2} + \frac{3a^{2}}{4} \times (-\frac{8b^{2}}{3}) + 3b^{2} \times 4a^{2} + 3b^{2} \times (-\frac{8b^{2}}{3})


                                                              =   3a^{4} - 2a^{2}b^{2} + 12a^{2}b^{2} - 8b^{4}

                                                               =  3a^{4} + 10a^{2}b^{2} - 8b^{4}

Posted by

Gautam harsolia

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