What is 5(a+1)^2-(a+1)+3 ?

The solution to 5(a+1)^2-(a+1)+3 is 5a^2+9a+7

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simplify 5(a+1)^2-(a+1)+3

simplify

5 (a + 1)^{2} - (a + 1) + 3

5 a^{2} + 9 a + 7

Solution steps

5 (a + 1)^{2} - (a + 1) + 3

Apply the distributive law:

- (a + b) = - a - b

- (a + 1) = - a - 1

= 5 (a + 1)^{2} - a - 1 + 3

Expand

5 (a + 1)^{2} : 5 a^{2} + 10 a + 5

= 5 a^{2} + 10 a + 5 - a - 1 + 3

Group like terms

= 5 a^{2} + 10 a - a + 5 - 1 + 3

Add similar elements:

10 a - a = 9 a

= 5 a^{2} + 9 a + 5 - 1 + 3

Add the numbers:

5 - 1 + 3 = 7

= 5 a^{2} + 9 a + 7

(16 x^{12})^{\frac{3}{4}}

- 0.2 \cdot (- \frac{5}{6})

\frac{2 x ^{2}}{3 x}

4 b + 7 b + 12 ab + 15 c + 12 a - 7 ab - 10 c + a

- \frac{7}{12} + \frac{11}{20}