Answer: –14/15 Step-by-step explanation: a*b+b*c so 4/5*—2/3+4/5*–1/2 by solving it; –8/15+(–4/10) –16+(–12)/30 Reply
[tex]\huge\mathcal{Given:-}[/tex] [tex]A = {\frac{4}{5}}[/tex] [tex]B = {\frac{-2}{3}}[/tex] [tex]C = {\frac{-1}{2}}[/tex] [tex]\huge\mathcal{To \:Find:-}[/tex] [tex] A \times (B +C) = (A× B)+(A × C)[/tex] [tex]\huge\mathcal\red{Solution:-}[/tex] [tex]\huge\mathcal{LHS}[/tex] [tex]\frac{4}{5} \times({\frac{-2}{3}} -{\frac{-1}{2}})[/tex] [tex]\mathcal\red{Taking \:out \:LCM}[/tex] [tex]\frac{4}{5} \times{\frac{-4-3}{6}}[/tex] [tex]\frac{4}{5} \times{\frac{-7}{6}}[/tex] [tex]\frac{-28}{30}[/tex] Now; [tex]\huge\mathcal\red{RHS}[/tex] [tex]{\frac{4}{5}} \times{\frac{-2}{3}} +{\frac{4}{5}} \times {\frac{-1}{2}}[/tex] [tex]\frac{-8}{15} + {\frac{-4}{10}}[/tex] [tex]\mathcal\red{Taking \:Out \:LCM}[/tex] [tex]\frac{-16-12}{30}[/tex] [tex]\frac{-28}{30}[/tex] [tex]\huge\mathcal{LHS=}\mathcal\red{RHS}[/tex] Reply
Answer:
–14/15
Step-by-step explanation:
a*b+b*c
so 4/5*—2/3+4/5*–1/2
by solving it; –8/15+(–4/10)
–16+(–12)/30
[tex]\huge\mathcal{Given:-}[/tex]
[tex]A = {\frac{4}{5}}[/tex]
[tex]B = {\frac{-2}{3}}[/tex]
[tex]C = {\frac{-1}{2}}[/tex]
[tex]\huge\mathcal{To \:Find:-}[/tex]
[tex] A \times (B +C) = (A× B)+(A × C)[/tex]
[tex]\huge\mathcal\red{Solution:-}[/tex]
[tex]\huge\mathcal{LHS}[/tex]
[tex]\frac{4}{5} \times({\frac{-2}{3}} -{\frac{-1}{2}})[/tex]
[tex]\mathcal\red{Taking \:out \:LCM}[/tex]
[tex]\frac{4}{5} \times{\frac{-4-3}{6}}[/tex]
[tex]\frac{4}{5} \times{\frac{-7}{6}}[/tex]
[tex]\frac{-28}{30}[/tex]
Now;
[tex]\huge\mathcal\red{RHS}[/tex]
[tex]{\frac{4}{5}} \times{\frac{-2}{3}} +{\frac{4}{5}} \times {\frac{-1}{2}}[/tex]
[tex]\frac{-8}{15} + {\frac{-4}{10}}[/tex]
[tex]\mathcal\red{Taking \:Out \:LCM}[/tex]
[tex]\frac{-16-12}{30}[/tex]
[tex]\frac{-28}{30}[/tex]
[tex]\huge\mathcal{LHS=}\mathcal\red{RHS}[/tex]