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Mathematics 21 Online
neveahisthebest:

square binomials (4x^2-y^5)2

jhonyy9:

what is the question here ?

Extrinix:

\((4x^2-y^5)^2\) Use your rules for exponents to solve this. \((4x^2-y^5)^2\) When multiplying, you add exponents together, so in this case you would add it to both x and y, as well as that you will square the whole numbers. \((4\times 4)x^{2+2}\) \(((-1)^2)\) \(y^{5+2}\) \(16x^{2+2}+y^{5+2}\) Then you want to add those together. \(16x^4+y^7\) So you would be left with the binomial. \(16x^4+y^7\)

jhonyy9:

@extrinix wrote:
\((4x^2-y^5)^2\) Use your rules for exponents to solve this. \((4x^2-y^5)^2\) When multiplying, you add exponents together, so in this case you would add it to both x and y, as well as that you will square the whole numbers. \((4\times 4)x^{2+2}\) \(((-1)^2)\) \(y^{5+2}\) \(16x^{2+2}+y^{5+2}\) Then you want to add those together. \(16x^4+y^7\) So you would be left with the binomial. \(16x^4+y^7\)
ATTENTION please !!! here in this cases use formule (a - b)^2 = a^2 -2ab +b^2

surjithayer:

\[(4x^2-y^5)^2=(4x^2)^2+(y^5)^2-2(4x^2)(y^5)\] \[(ax^b)^c=a^c(x)^{b \times c}\] solve it.

surjithayer:

\[=16x^4+y^{10}-8x^2y^5\]

QueenNiyah:

so was my answer right or no

surjithayer:

\[(x^a)^b=x^{a \times b}\]

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