verify the following: 17 x [4 + (- 3)] = [17 x 4] + [ 17 x (- 3)]
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verify the following: 17 x [4 + (- 3)] = [17 x 4] + [ 17 x (- 3)]
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Answer:
17 x [4 + (- 3)] = [17 x 4] + [ 17 x (- 3)]
17×[1 ]= [68]+ [-51]
17= 17
left side equation is equal to right side equation.
Verified answer
[tex]\large\underline{\underline{\rm{\red{To \ verify:-}}}}[/tex]
[tex]\rm :\longmapsto 17\times [4 + (-3)] = [17 \times 5] + [17 \times (-3)][/tex]
Solving for LHS:
[tex]\rm :\longmapsto 17 \times [4 + (-3)][/tex]
[tex]\rm :\longmapsto 17 \times [4 - 3][/tex]
[tex]\rm :\longmapsto 17 \times 1[/tex]
[tex]\boxed{\rm :\longmapsto 17}[/tex]
Solving for RHS:
[tex]\rm :\longmapsto [17 \times 4] + [17 \times (-3)][/tex]
[tex]\rm :\longmapsto 68 + [17 \times (-3)][/tex]
[tex]\rm :\longmapsto 68 + [-(17\times 3)][/tex]
[tex]\rm :\longmapsto 68 + (-51)[/tex]
[tex]\rm :\longmapsto 68 - 51[/tex]
[tex]\boxed{\rm :\longmapsto 17}[/tex]
Hence verified✅
[tex]\color{#FF7968}{\rule{36pt}{7pt}}\color{#4FB3F6}{\rule{36pt}{7pt}}\color{#FBBE2E}{\rule{36pt}{7pt}}\color{#60D399}{\rule{36pt}{7pt}}\color{#6D83F3}{\rule{36pt}{7pt}}[/tex]