Question

Chứng tỏ rằng: a.(b+c)-a.(b+d)=a.(c-d)

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1 người 1 tick

Answer 1

\(VT=a\cdot\left(b+c\right)-a\cdot\left(b+d\right)\\ =a\cdot\left[\left(b+c\right)-\left(b+d\right)\right]\\ =a\cdot\left(b+c-b-d\right)\\ =a\cdot\left(c-d\right)=VP\)

Answer 2

vt=a⋅(b+c)−a⋅(b+d)=a⋅[(b+c)−(b+d)]=a⋅(b+c−b−d)=a⋅(c−d)=vp (đpcm)