Question

resolve into factora..
math exprts help me


saby123.....​

Answer 1

$\large{\underline{\underline{\mathfrak{\green{\sf{Solution:-}}}}}}$.

$\large{\underline{\underline{\mathfrak{\green{\sf{Find\:Here:-}}}}}}$.

✴ Factor of Given equation

$\red{\:(2x^2-5y^2)^2\:-(5x^2-2y^2)^2}$.

$\large{\underline{\underline{\mathfrak{\green{\sf{Explanation:-}}}}}}$.

➡We know that,

✴$\red{\:(a^2-b^2)\:=\:(a+b)(a-b)}$.

➡Using this identity for this equation .

__________________________

$\implies\:(2x^2-5y^2)^2\:-(5x^2-2y^2)^2}$

$\implies\:((2x^2-5y^2)+(5x^2-2y^2))((2x^2-5y^2)-(5x^2-2y^2))$

$\implies\:(7x^2-7y^2)(-3x^2-3y^2)$

$\implies\:(7*-3)(x^2-y^2)(x^2+y^2)$

$\implies\:(-21)(x^4-y^4)$

________ ___________________

Answer 2

❏ Question:-

@ represent it in factors form

(2x²-5y²)²-(5x²-2y²)²

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❏ Solution:-

(2x²-5y²)²-(5x²-2y²)²

: $\implies$ (2x²-5y²)²-(5x²-2y²)²

: $\implies$ [{(2x²-5y²)+(5x²-2y²)}{(2x²-5y²)-(5x²-2y²)}]

: $\implies$ [{2x²-5y²+5x²-2y²}{2x²-5y²-5x²+2y²}]

: $\implies$ [{7x²-7y²}{-3x²-3y²}]

: $\implies$ (7)(-3)[{x²-y²}{x²+y²}]

: $\implies$ (7)(-3)(x-y)(x+y)(x²+y²)

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❏ Formula used:-

➝ A²-B²=(A+B)(A-B)

➝ (A+B)²= A²+2AB+B²

➝(A-B)²= A²-2AB +B²

➝(A+B)²+(A-B)²= 2(A²+B²)

➝(A²+B²)-(A-B)²= 4AB

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$\setlength{\unitlength}{0.74 cm}\begin{picture}(12,4)\thicklines\put(5.6,5.6){ A }\put(11.1,5.8){ B }\put(11.08,8.9){ C }\put(5.46,8.7){ D }\put(3.55,10.15){ E }\put(3.55,7.15){ F }\put(9.14,10.235){ H }\put(9.14,7.3){ G }\put(3.3,6.3){ b\:cm }\put(7.75,6.2){ l\:cm }\put(11.1,7.5){ h\:cm }\put(6,6){\line(1,0){5}}\put(6,9){\line(1,0){5}}\put(11,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\put(4,7.3){\line(1,0){5}}\put(4,10.3){\line(1,0){5}}\put(9,10.3){\line(0,-1){3}}\put(4,7.3){\line(0,1){3}}\put(6,6){\line(-3,2){2}}\put(6,9){\line(-3,2){2}}\put(11,9){\line(-3,2){2}}\put(11,6){\line(-3,2){2}}\end{picture}$

✦CUBOID✦

For a cuboid of length l , breadth b and height h .

$\sf\longrightarrow\boxed{ Diagonal=\sqrt{l^{2}+b^{2}+h^{2}}}$

$\sf\longrightarrow\boxed{T.S.A.=2\times(lb+bh+hl)}$

$\sf\longrightarrow\boxed{ Volume=l\times b\times h}$

Where, •T.S.A.=Total Surface area.