Question
Use the direct method to evaluate : $(0.5a−2a) (0.5+2a)$

Answer

$(a+b) (a−b) = a^2 − b^2(0.5a−2a) (0.5+2a)$
$= (0.5)^2 − (2a)^2$
$= 0.25 − 4a^2$

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Similar questions

Four friends studying in different schools sat down to discuss their scores in their mid-term examinations. Their scores are as under :
(i) A secured 56 marks out of 80 . $\quad$ (ii) B secured 108 marks out of 150 .
(iii) C secured 51 marks out of 75 . $\quad$ (iv) D secured 87 marks out of 120 .
1. Which of the four friends had the best performance?
(a) A $\quad$(b) B $\quad$(c) C $\quad$(d) D

2. C got his test paper re-evaluated and his score increased by $12 \%$. His new score is :
(a) 56 $\quad$(b) $57 \cdot 5$ $\quad$(c) 58 $\quad$(d) 60

3. If the pass percentage in A's test was $40 \%$, how many percent more marks did he obtain than the passing marks ?
(a) $32 \%$ $\quad$(b) $40 \%$ $\quad$(c) $60 \%$ $\quad$(d) $75 \%$

4. If D obtained 45 marks more than the passing marks, then what was the pass percentage in his test?
(a) $34 \%$ $\quad$(b) $35 \%$ $\quad$(c) $38 \%$ $\quad$(d) $40 \%$
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