Factorise:49a2 + 70ab + 25b2  from Mathematics Polynomials

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 Multiple Choice QuestionsShort Answer Type

211.  If x + y + z = 0, show that x3 + y3 + Z3 = 3xyz.
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212. Without actually calculating the cubes, find the value of each of the following:
 (- 12)+ (7)3 + (5)3
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213. Without actually calculating the cubes, find the value of each of the following:
(28)3 + (- 15)3 + (- 13)3
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214. Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given:

box enclose bold space bold Area bold space bold colon bold space bold 25 bold a to the power of bold 2 bold minus bold 35 bold a bold plus bold 12 end enclose
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215. Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given:

box enclose bold Area bold space bold colon bold space bold 35 bold y to the power of bold 2 bold plus bold 13 bold y bold minus bold 12 end enclose
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216.

What are the possible expressions for the dimensions of the cuboids whose volumes are given below?

box enclose bold Volume bold space bold colon bold space bold 3 bold x to the power of bold 2 bold minus bold 12 bold x end enclose

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217.

What are the possible expressions for the dimensions of the cuboids whose volumes are given below?

box enclose bold Volume bold space bold colon bold space bold 12 bold ky to the power of bold 2 bold plus bold 8 bold ky bold minus bold 20 bold k end enclose

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218. Evaluate 105 × 106 without direct multiplying.
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219. Factorise:

49a2 + 70ab + 25b


Solution not provided.

Ans.  (7a + 5b)2

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220. Factorise:

25 over 4 x squared minus y cubed over 9.
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