What is 2a+3(a+b)(a+b)-4(a+3) ?

The solution to 2a+3(a+b)(a+b)-4(a+3) is 3a^2-2a+6ab+3b^2-12

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simplify 2a+3(a+b)(a+b)-4(a+3)

simplify

2 a + 3 (a + b) (a + b) - 4 (a + 3)

3 a^{2} - 2 a + 6 ab + 3 b^{2} - 12

Solution steps

2 a + 3 (a + b) (a + b) - 4 (a + 3)

Apply exponent rule:

aa = a^{2}

(a + b) (a + b) = (a + b)^{2}

= 2 a + 3 (a + b)^{2} - 4 (a + 3)

Expand

3 (a + b)^{2} : 3 a^{2} + 6 ab + 3 b^{2}

= 2 a + 3 a^{2} + 6 ab + 3 b^{2} - 4 (a + 3)

Expand

- 4 (a + 3) : - 4 a - 12

= 2 a + 3 a^{2} + 6 ab + 3 b^{2} - 4 a - 12

Group like terms

= 3 a^{2} + 2 a - 4 a + 6 ab + 3 b^{2} - 12

Add similar elements:

2 a - 4 a = - 2 a

= 3 a^{2} - 2 a + 6 ab + 3 b^{2} - 12

9 (2 x - 1) = 3 (x + 2) + 3 x

6 ln (x) + 4 ln (y)

- 53 - 33

5 x - 16 < 19

6 \cdot 272

What is 2a+3(a+b)(a+b)-4(a+3) ?
The solution to 2a+3(a+b)(a+b)-4(a+3) is 3a^2-2a+6ab+3b^2-12