Question

explain each of the following using suitable identities
(1). (x+2y+4z) power 2​

Answer 1

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COrrEcT QuEsTi0N -

Expand each of the following using suitable identities :

(1). (x+2y+4z) ^ 2

S0lUtiOn -

${(x + 2y + 4z)}^{2} \\ \\ = > { {x}^{2} } + {4y}^{2} + {16z}^{2} + 2(x)(2y) + 2(2y)(4z) + 2(x)(4z) \\ \\ = > { {x}^{2} } + {4y}^{2} + {16z}^{2} + 4xy + 8yz + 8xz$

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IdEnTiTy UsEd -

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

AddiTiOnaL InFoRmAtIon ~

• ${(a + b)}^{2} = {a}^{2} + 2ab \: + {b}^{2}$

• ${(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2}$

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

• ${ (a - b - c) } ^ 2 ={ a } ^ 2 + { b } ^ 2 + { c } ^ 2 - 2ab + 2bc - 2ac$

Answer 2

Answer:

(1+4+8) power 2

13power2

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