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(- 2x + 5y - 3z) 2 (-2x + 5y - 3z) 2 ={(-2x) + 5y + (- 3z)} 2 = (- 2x) 2 + (5y) 2 + (- 3z) 2 + 2(- 2x)(5y) + 2(5y)(- 3z) + 2(- 3z)(- 2x) = 4x 2 + 25y 2 + 9z 2 - 20xy - 30yz + 12zx

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Polynomials

Short Answer Type

181. Expand the following:

(i) (x - 2y - 3z)² (ii)

open parentheses y minus square root of 3 close parentheses squared

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182. Factorise the following using appropriate identities:

9x² + 6xy + y²

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183. Factorise the following using appropriate identities:

4y² - 4y + 1

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184. Factorise the following using appropriate identities:

straight x squared minus straight y squared over 100

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185. Expand each of the following using suitable identities:
(x + 2y + 4z)²

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186. Expand each of the following using suitable identities:
(- 2x + 3y + 2z)²

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187. Expand each of the following using suitable identities:
(- 2x + 3y + 2z)²

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188. Expand each of the following using suitable identities:
(3a -7b - c)²

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189. Expand each of the following using suitable identities:
(- 2x + 5y - 3z)²

(- 2x + 5y - 3z)² (-2x + 5y - 3z)²

={(-2x) + 5y + (- 3z)}²= (- 2x)² + (5y)² + (- 3z)² + 2(- 2x)(5y) + 2(5y)(- 3z) + 2(- 3z)(- 2x)
= 4x² + 25y² + 9z² - 20xy - 30yz + 12zx