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Identify the following experiences 1]2x²-3x+1 2]-3m²-2m-1 …

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Identify the following experiences 1]2x²-3x+1 2]-3m²-2m-1 Terms, coefficient, factors and expands

    • Posted by Niyati Mangela 5 years ago

    CBSE > Class 08 > Mathematics
    • 2 answers

    Diksha Laniya🐥 5 years ago

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    Diksha Laniya🐥 5 years ago

    ANSWER First expand the term (1+2x)4 by binomial expansion. (1+2x)4=4C0​(1)4(2x)0+4C1​(1)3(2x)1+4C2​(1)2(2x)2+4C3​(1)1(2x)3+4C4​(1)0(2x)4 =1+8x+24x2+32x3+16x4                             (1) Now expand the term (2−x)5 by binomial expansion, (2−x)5=5C0​(2)5(x)0−5C1​(2)4(x)1+5C2​(2)3(x)2−5C3​(2)2(x)3+5C4​(2)1(x)4−5C5​(2)0(x)5 =32−80x+80x2−40x3+10x4−x5                    (2) Multiply the coefficients of those powers which can give the term x4 and then add from equation (1) and (2). =1×10+8(−40)+24(80)+32(−80)+16(32) =−438 Therefore, the coefficient of x4 is −438.

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