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

Simplify

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

180 x^{8} y^{19}

\frac{37}{24}

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

4^{2} \cdot 4^{8}

\frac{x ^{7} - y ^{7}}{x - y}

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