Question

Expand each of the following, using suitable identities:
(1) (x + 2y + 4z)²
(ii) (2x - y +z)²
​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\huge\mathbb{A~N~S~W~E~R}$$<b><i>$

[1]

$= {(x + 2y + 4z)}^{2} \\ \\ = {(a + b + c)}^{2} \\ \\ = {x}^{2} + {(2y)}^{2} + {(4z)}^{2} + 2(x)(2y) + 2(2y)(4z) + 2(4z)(x) \\ \\ = {x}^{2} + 4 {y}^{2} + 16 {z}^{2} + 4xy + 16yz + 8zx$

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[2]

$= {(2x - y + z)}^{2} \\ \\ = {4x}^{2} + {( - y)}^{2} + {z}^{2} + 2(2x)( - y) + 2( - y)(z) + 2(z)(2x) \\ \\ = 4 {x}^{2} - {y}^{2} + {z}^{2} - 4xy - 2yz + 4xz$