InterviewSolution
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InterviewSolution
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Simplify. (i) `(x^2-5) (x+5)+25` (ii) `(a^2+5) (b^3+3)+5` (iii) `(t+s^2) (t^2-s)` (iv) `(a+b)(c-d)+(9a-b)(c+d)+2(ac+bd)` (v) `(x+y)(2x+y)+(x+2y)+(x+2y)(x-y)` (vi) `(x+y)(x^2-xy+y^2)` (vii) `(1.5x-4y)(1.5x+4y+3)-4.5x+12y` (viii) `(a+b+c)(a+b-c)` |
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Answer» 1)`(x^2-5)(x+5)+25` =`x^3+5x^2-5x-25+25` =`x^3+5x^2-5x` 2)`(a^2+5)(b^3+3)+5` `a^2b^3+3a^2+5b^3+15+5` `a^2b^3+3a^2+5b^3+20` 3)`(t+s^2)(t^2-s)` `t^3-ts+s^2t^2-s^3`4)`(a+b)(c-d)+(9a-b)(c+d)+2(ac+bd)` `ac+bc-ad-bd+9ac+9ad-bc-bd+2ac+2bd` `12ac+8ad+2bd-bc` 5)`(x+y)(2x+y)+(x+2y)+(x+2y)(x-y)` `2x^2+xy+2xy+y^2+x+2y+x^2-xy+2xy-2y^2` `3x^2+4xy-y^2+x+2y` 6)`(x+y)(x^2-xy+y^2)` `x^3-x^2y+xy^2+x^2y-xy^2+y^3` `x^3+y^3` 8)`(a+b+c)(a+b-c)` `a^2+ab-ac+ab+b^2-bc+ac+bc-c^2` `a^2+b^2-c^2+2ab`. |
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