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Question

Question: (<img src="https://cdn.pureessence.tech/canvas_577.png?top_left_x=335&top_left_y=0&width=225&height=...

(+ 3 b\overline { \mathrm { b } }). {(b\overline { \mathrm { b } }) × (b\overline { \mathrm { b } })} equals

A

4 [b\overline { \mathrm { b } }]

B

2 [b\overline { \mathrm { b } }]

C

– 4 [b\overline { \mathrm { b } }]

D

–2 [b\overline { \mathrm { b } }]

Answer

4 <img src="https://cdn.pureessence.tech/canvas_577.png?top_left_x=335&top_left_y=0&width=225&height=300" style="width:0.125in;height:0.17361in" />$\overline { \mathrm { b } }$<img src="https://cdn.pureessence.tech/canvas_74.png?top_left_x=598&top_left_y=900&width=225&height=300" style="width:0.125in;height:0.17361in" />

Explanation

Solution

(+ 3b\overline { \mathrm { b } }). {(b\overline { \mathrm { b } }) × (–)}

= – (+ 3b\overline { \mathrm { b } }) . {×b\overline { \mathrm { b } }× }

= .(b\overline { \mathrm { b } }× ) – 3b\overline { \mathrm { b } }. (× )

= [b\overline { \mathrm { b } }] + 3[b\overline { \mathrm { b } }]= 4 [b\overline { \mathrm { b } }]