What is expand (2x+3y+4c)^2 ?

The solution to expand (2x+3y+4c)^2 is 4x^2+12xy+16cx+9y^2+16c^2+24cy

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expand (2x+3y+4c)^2

expand

(2 x + 3 y + 4 c)^{2}

4 x^{2} + 12 x y + 16 c x + 9 y^{2} + 16 c^{2} + 24 cy

Solution steps

(2 x + 3 y + 4 c)^{2}

Apply exponent rule:

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

(2 x + 3 y + 4 c)^{2} = (2 x + 3 y + 4 c) (2 x + 3 y + 4 c)

= (2 x + 3 y + 4 c) (2 x + 3 y + 4 c)

Distribute parentheses

= 2 x \cdot 2 x + 2 x \cdot 3 y + 2 x \cdot 4 c + 3 y \cdot 2 x + 3 y \cdot 3 y + 3 y \cdot 4 c + 4 c \cdot 2 x + 4 c \cdot 3 y + 4 c \cdot 4 c

Simplify

2 x \cdot 2 x + 2 x \cdot 3 y + 2 x \cdot 4 c + 3 y \cdot 2 x + 3 y \cdot 3 y + 3 y \cdot 4 c + 4 c \cdot 2 x + 4 c \cdot 3 y + 4 c \cdot 4 c : 4 x^{2} + 12 x y + 16 c x + 9 y^{2} + 16 c^{2} + 24 cy

= 4 x^{2} + 12 x y + 16 c x + 9 y^{2} + 16 c^{2} + 24 cy

y \frac{( 2 x ^{2} + 7 )}{3}

(- 4.2 x^{4}) (9 x^{6})

6 a - 3 a + 5 b - 3 b

(\frac{- 2 x ^{3}}{8})^{4}

\frac{4 x - 12}{10}

What is expand (2x+3y+4c)^2 ?
The solution to expand (2x+3y+4c)^2 is 4x^2+12xy+16cx+9y^2+16c^2+24cy