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Lilit [14]
3 years ago
6

Expand and simplify (x-3)(x-6)

Mathematics
1 answer:
olga2289 [7]3 years ago
3 0
Expand <span><span><span>(<span>x<span>−3</span></span>)</span><span>(<span>x<span>−6</span></span>)</span></span><span><span>x<span>-3</span></span>⁢<span>x<span>-6</span></span></span></span> using the FOIL Method.Tap for less steps...Apply the distributive property.<span><span><span>x<span>(<span>x<span>−6</span></span>)</span></span><span><span>−3</span><span>(<span>x<span>−6</span></span>)</span></span></span><span><span>x⁢<span>x<span>-6</span></span></span><span><span>-3</span>⁢<span>x<span>-6</span></span></span></span></span>Apply the distributive property.<span><span><span><span>xx</span>+<span>x⋅<span>−6</span></span></span><span><span>−3</span><span>(<span>x<span>−6</span></span>)</span></span></span><span><span><span>x⁢x</span>+<span>x⋅<span>-6</span></span></span><span><span>-3</span>⁢<span>x<span>-6</span></span></span></span></span>Apply the distributive property.<span><span><span><span>xx</span>+<span>x⋅<span>−6</span></span></span>+<span>(<span><span><span>−3</span>x</span><span><span>−3</span>⋅<span>−6</span></span></span>)</span></span><span><span><span>x⁢x</span>+<span>x⋅<span>-6</span></span></span>+<span><span><span>-3</span>⁢x</span><span><span>-3</span>⋅<span>-6</span></span></span></span></span>Remove parentheses.<span><span><span><span><span>xx</span>+<span>x⋅<span>−6</span></span></span><span><span>−3</span>x</span></span><span><span>−3</span>⋅<span>−6</span></span></span><span><span><span><span>x⁢x</span>+<span>x⋅<span>-6</span></span></span><span><span>-3</span>⁢x</span></span><span><span>-3</span>⋅<span>-6</span></span></span></span>Simplify and combine like terms.Tap for less steps...Simplify each term.Tap for more steps...<span><span><span><span><span>x2</span><span><span>−6</span>x</span></span><span><span>−3</span>x</span></span>+18</span><span><span><span><span>x2</span><span><span>-6</span>⁢x</span></span><span><span>-3</span>⁢x</span></span>+18</span></span>Subtract <span><span>3x</span><span>3⁢x</span></span> from <span><span><span>−6</span>x</span><span><span>-6</span>⁢x</span></span> to get <span><span><span>−9</span>x</span><span><span>-9</span>⁢x</span></span>.<span><span><span>x2</span><span><span>−9</span>x</span></span>+<span>18</span></span>
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