Question

) The expansion of (x + 1/4)(x - 4/5) is​

Answer 1

Answer:

x4+4x3+6x2+4x+1. Explanation: The binomial theorem states: (a+b)4=a4+4a3b+6a2b2+4ab3+b4. so here, a=xandb=1. We get

Step-by-step explanation:

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Answer 2

Answer:

$(x + a)(x + b) = {x}^{2} + x(a + b) + ab$

USING THIS IDENTITY:

$(x + \frac{1}{4} )(x - \frac{4}{5} ) \\ \\ = {x}^{2} + x( \frac{1}{4} - \frac{4}{5} ) + \frac{1}{4} \times \frac{ - 4}{5} \\ \\ = {x}^{2} + x( \frac{5 - 16}{20}) + \frac{ - 1}{5} \\ \\ = {x}^{2} + \frac{ - 11x}{20} + \frac{ - 1}{5}$