What is expand (2a-3b-4c)^2 ?

The solution to expand (2a-3b-4c)^2 is 4a^2-12ab-16ac+9b^2+24bc+16c^2

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expand (2a-3b-4c)^2

expand

(2 a - 3 b - 4 c)^{2}

4 a^{2} - 12 ab - 16 a c + 9 b^{2} + 24 b c + 16 c^{2}

Solution steps

(2 a - 3 b - 4 c)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

= (2 a - 3 b - 4 c) (2 a - 3 b - 4 c)

Distribute parentheses

= 2 a \cdot 2 a + 2 a (- 3 b) + 2 a (- 4 c) - 3 b \cdot 2 a - 3 b (- 3 b) - 3 b (- 4 c) - 4 c \cdot 2 a - 4 c (- 3 b) - 4 c (- 4 c)

Simplify

2 a \cdot 2 a + 2 a (- 3 b) + 2 a (- 4 c) - 3 b \cdot 2 a - 3 b (- 3 b) - 3 b (- 4 c) - 4 c \cdot 2 a - 4 c (- 3 b) - 4 c (- 4 c) : 4 a^{2} - 12 ab - 16 a c + 9 b^{2} + 24 b c + 16 c^{2}

= 4 a^{2} - 12 ab - 16 a c + 9 b^{2} + 24 b c + 16 c^{2}

x^{4} - x^{2}

(x - 3 y) - (3 x + 3 y)

(- x^{3})^{5}

(3 + 2 x)^{8}

9 x^{4} + 27 x^{2} y - 63 x^{5} y^{2}

What is expand (2a-3b-4c)^2 ?
The solution to expand (2a-3b-4c)^2 is 4a^2-12ab-16ac+9b^2+24bc+16c^2