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Algebraic Expressions and Identities

Short Answer Type

51.

Fint the product.

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52.

Fint the product.

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53.

Find the product.

X x X²x X³x X⁴

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54.

Simplify 3x(4x - 5) + 3 and find its values for (i) x = 3 (ii) $space space space space space space space space straight x space equals space 1 half$

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55.

simplify a(a²+ a + 1) + 5 and find its values for (i) a = 0, (ii) a = 0, and (iii) a = -1.

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56.

(a) Add: p(p – q), q(q – r) and r(r – p)

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57.

Add: 2x(z – x – y) and 2y(z – y – x)

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58.
Subtract: 3l(l – 4m + 5n) from 41(10n + 3m + 2l)

∵ 3l(l - 4m + 5n) = 3l x l - 31 x 4m +3l x 5n
= 3l²- 12lm + 15ln
and 4l(10n - 3m + 21) = 4l x 10n - 4l x 3m +4l x 21
= 40ln - 12lm + 8l²

∴      40ln - 12lm + 8l²
      + 3l²- 12lm + 15ln
        (-)      (+)     (-)
(40 - 15)ln + (12 - 12)lm + (8 -3)l²

                              = 25lm + (8 -3)l²
                              = 5l² + 25ln

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