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Popular >

expand (x+y+z)^2

Solution

expand

(x + y + z)^{2}

Solution

x^{2} + 2 x y + 2 x z + y^{2} + 2 yz + z^{2}

Solution steps

(x + y + z)^{2}

Apply exponent rule:

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

(x + y + z)^{2} = (x + y + z) (x + y + z)

= (x + y + z) (x + y + z)

Distribute parentheses

= xx + x y + x z + y x + yy + yz + z x + zy + zz

Simplify

xx + x y + x z + y x + yy + yz + z x + zy + zz : x^{2} + 2 x y + 2 x z + y^{2} + 2 yz + z^{2}

= x^{2} + 2 x y + 2 x z + y^{2} + 2 yz + z^{2}

Popular Examples

simplify-6x^2y^3(3x^4y^5)simplify

- 6 x^{2} y^{3} (3 x^{4} y^{5})

x^{2} - 6 x = 9

factor x^2-12x+32 factor

x^{2} - 12 x + 32

factor t^2-6t+9 factor

t^{2} - 6 t + 9

x^3+x^2-50x+48>= 0

x^{3} + x^{2} - 50 x + 48 \geq 0

Frequently Asked Questions (FAQ)

What is expand (x+y+z)^2 ?
The solution to expand (x+y+z)^2 is x^2+2xy+2xz+y^2+2yz+z^2