Question

(x+y)^2×(x-y)^2=??? please help

Answer 1

Answer:

= x^4 + y^4 - 2x²y²

Step-by-step explanation:

(x+y)^2 = x^2 + y^2 + 2xy

(x-y)^2 = x^2 + y^2 - 2xy

(x+y)^2 * (x-y)^2 = ( x^2 + y^2 + 2xy)*( x^2 + y^2 - 2xy)

= x^4 + x²y² - 2x³y + y^4 + x²y² - 2xy³ + 2x³y + 2xy³ - 4x²y²

= x^4 + y^4 - 2x²y²

Answer 2

HIII MATE!!!

SOLUTION:-


BY STEP BY STEP EXPLAINATION


$(x + y) { }^{2} (x - y) {}^{2}$

Simplifying 1st term:-


$(x + y) {}^{2}$

$x ^{2} + 2xy + y {}^{2}$

-------------------------------(1)

Simplifing 2nd term:-


$(x - y) {}^{2}$


$x ^{2} - 2xy + y {}^{2}$
---------------------------------(2)



MULTIPLYING ------(1) and------(2),we get:-


$(x ^{2} + 2xy + y {}^{2} )(x {}^{2} - 2xy + y {}^{2} )$


$x ^{2} (x {}^{2} - 2xy + y {}^{2} ) + 2xy (x {}^{2} - 2xy + y {}^{2} ) + y {}^{2} (x {}^{2} - 2xy + y {}^{2} )$


$x ^{4} - 2x {}^{2} y {}^{2} + y { }^{4}$


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