Question

expand the following ( x - 2y + 4z )2

Answer 1

Used Formula,

(a+b+c)² = a² + b² + c² + 2[ab + bc + ca]
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Solution :-

(x - 2y + 4z)²

[x + (-2y) + 4z]²

$x^2 + (-2y)^2 + (4z)^2 + 2[ (-2xy) + (-8zy) + 4zx]$

$x^2 + 4y^2 + 16z^2+ 2 [-2xy -8zy + 4zx]$

$x^2 + 4y^2 + 16z^2 -4xy -16zy + 8zx$




i hope this will help you

-by ABHAY

Answer 2

The expanded form of given expression is $x^2+4y^2+16z^2-4xy-16yz+8xz$.

Step-by-step explanation:

The given expression is

$(x-2y+4z)^2$

The algebraic formula is

$(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac$

Using this formula the given expression can be written as

$(x-2y+4z)^2=x^2+(-2y)^2+(4z)^2+2(x)(-2y)+2(-2y)(4z)+2(x)(4z)$$(x-2y+4z)^2=x^2+4y^2+16z^2-4xy-16yz+8xz$

Therefore, the expanded form of given expression is $x^2+4y^2+16z^2-4xy-16yz+8xz$.

#Learn more

Expand the following using suitable identities

1.

( - 2x + 3y - 4z) {2} \\   \\ 2.(3x - 4y + z) {2}

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