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Alex
3 years ago
13

4(10x+2)-40x Each step of the equation

Mathematics
2 answers:
noname [10]3 years ago
8 0

Answer:

\displaystyle =8

Step-by-step explanation:

<em>Distributive property: </em>

<em>        ↓</em>

<em>  A(B+C)=AB+AC</em>

<em />

<em>A=4,  B=10x, and C=2</em>

<em />

<em>4*10x+4*2</em>

<em />

<em>Simplify.</em>

<em />

<em>40x+4*2</em>

<em />

<em>4*2=8</em>

<em />

<em>40x+8</em>

<em />

<em>40x+8-40x</em>

<em />

<em>Group like terms</em>

<em />

<em>40x-40x+8</em>

<em />

<em>Add numbers from left to right.</em>

<em />

<em>40x-40x=0</em>

<em />

<em>\displaystyle 8, is the correct answer.</em>

<em />

<em>Hope this helps!</em>

<em />

Ilya [14]3 years ago
7 0

Answer:

8

Step-by-step explanation:

We cannot solve this, since this is an expression, not an equation.

Lets simplify the expression

4(10x+2)-40x

Distribute the 4

40x +8 - 40x

8

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The simplified expression of 2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15})is 10\sqrt{6} +  6\sqrt{20}+  20\sqrt{3} +  30\sqrt{2}

The expression is given as:

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15})

Expand the expression

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2\sqrt{30} \times \sqrt5+  2\sqrt{30} \times \sqrt6+  2\sqrt{30} \times \sqrt{10} +  2\sqrt{30} \times \sqrt{15}

Factor out 2

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(\sqrt{30} \times \sqrt5+  \sqrt{30} \times \sqrt6+  \sqrt{30} \times \sqrt{10} +  \sqrt{30} \times \sqrt{15})

Combine the radicals

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(\sqrt{150} +  \sqrt{180}+  \sqrt{300} +  \sqrt{450})

Expand the expression

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(\sqrt{25 \times 6} +  \sqrt{9 \times 20}+  \sqrt{100 \times 3} +  \sqrt{225\times 2})

Evaluate the roots

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(5\sqrt{6} +  3\sqrt{20}+  10\sqrt{3} +  15 \sqrt{2})

Expand

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) =10\sqrt{6} +  6\sqrt{20}+  20\sqrt{3} +  30\sqrt{2}

Hence, the simplified expression of 2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15})is 10\sqrt{6} +  6\sqrt{20}+  20\sqrt{3} +  30\sqrt{2}

Read more about simplified expressions at:

brainly.com/question/8008182

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