What is 2(2x+5)^2+5(2x+5)+2 ?

The solution to 2(2x+5)^2+5(2x+5)+2 is 8x^2+50x+77

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simplify 2(2x+5)^2+5(2x+5)+2

simplify

2 (2 x + 5)^{2} + 5 (2 x + 5) + 2

8 x^{2} + 50 x + 77

Solution steps

2 (2 x + 5)^{2} + 5 (2 x + 5) + 2

Expand

2 (2 x + 5)^{2} : 8 x^{2} + 40 x + 50

= 8 x^{2} + 40 x + 50 + 5 (2 x + 5) + 2

Expand

5 (2 x + 5) : 10 x + 25

= 8 x^{2} + 40 x + 50 + 10 x + 25 + 2

Group like terms

= 8 x^{2} + 40 x + 10 x + 50 + 25 + 2

Add similar elements:

40 x + 10 x = 50 x

= 8 x^{2} + 50 x + 50 + 25 + 2

Add the numbers:

50 + 25 + 2 = 77

= 8 x^{2} + 50 x + 77

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18 x^{7} y^{4}

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What is 2(2x+5)^2+5(2x+5)+2 ?
The solution to 2(2x+5)^2+5(2x+5)+2 is 8x^2+50x+77