Challenge for just fully qualified answerers not for others!__________

1.	Challenge for just fully qualified answerers not for others!__________________________________________Factorise the following expressions - 1. a^4 - b^42. p^4 - 813. x^4 - (y+z)^44. x^4 - (x-z)^4_______________________________________1) A grandfather is ten tires older than his grandson. He is also 54 yers old then him. Their present age? 2) Gopi's age is 3 ties his son age. 10 years ago he was five time times his son age. Present age of both? ________________________________________Note! • I need 100% qualitied answer. Need fully explained answer. It is ok if you miss any one step! • Giving more points then 5 because it is lengthy! Answer properly qualitied answerers! :)Request! • Moderators if "answers are qualitied and proper fully" then please verify them because it is easy to trust on them from my side. Please do that on answers.Advanced thanks to all!!
Answer» _________________________ ★ Question ★ ★ Factorise the following expressions - 1) a^4 - b^4 2) p^4 - 81 3) x^4 - (y+z)^4 4) x^4 - (x-z)^4 ★ Solution ★ _________________________ $1) \bf \: Given \: a {}^{4} - b {}^{4} \: = (a {}^{2} ) {}^{2} - (b {}^{2} ) {}^{2}$ $\bf = (a {}^{2} + b {}^{2} )(a {}^{2} - b {}^{2} )$ Formula :- $\bf(x {}^{2} - {y}^{2} = (x + y)(x - y))$ THEREFORE answer $\red{ = >} \bf \: ( {a}^{2} + {b}^{2} )(a + b)(a - b)$ _________________________ _________________________ $\bf \: 2) \: given \: = {p}^{4} - 81$ $= \bf {p}^{4} - {3}^{4}$ $= \bf( {p}^{2} - {3}^{2} )( {p }^{2} + {3}^{2} )$ $\bf= (p - 3)(p + 3)( {p}^{2} - {3}^{2})$ _________________________ _________________________ $\bf \: 3) Given \: = {x}^{4} - (y + z {}^{4} )$ $\bf = ( {x}^{2} ) {}^{2} - ({(y + z) {}^{2} }) {}^{2}$ $\bf = ( {x}^{2} + (y + z) {}^{2} )( {x}^{2} - (y + z) {}^{2} )$ $\bf = ( {x}^{2} + (y + z) {}^{2} )(x + y + z)(x - y - z)$ $\bf = ( {x}^{2} + {y}^{2} + {z}^{2} + 2yz)(x + y + z)(x - y - z)$ $\bf = 1 \times ( {x}^{2} + {y}^{2} + {z}^{2} ) \times (x + y + z) \times (x - y - z)$ _________________________ _________________________ $\bf4) Given \: = {x}^{4} - (x - z) {}^{4}$ $\bf = ( {x}^{2} ) {}^{2} - ((x - z) {}^{2}) {}^{2}$ $\bf = ( {x}^{2} + (x - z) {}^{2} )( {x}^{2} - (x - z) {}^{2} ) {}^{2}$ $\bf= ( {x}^{2} + {x}^{2} - 2xz + {z}^{2} )(x + x - z)(x - x - z)$ $\bf = (2 {x}^{2} - 2xz + {z}^{2} )(2x - z)(z)$ _________________________ _________________________ ★ Question ★ A GRANDFATHER is ten tires older than his grandson. He is also 54 yers old then him. Their present age? ★ Solution ★ Let man’s present age to be x and his grandson’s be y $\bf \: x=10y ...(1)$ $\bf \: x=y+54 ...(2)$ Put equation one in equation 2 $\bf \: 10y=y+54$ $\bf10y-y=54$ $\bf9y=54$ $\bf \: y= \frac{54}{9}$ $\bf \: Y=6$ $\bf \: X=10y$ $\bf \: X=10 \times 6$ $\bf \: X=60$ Man’s present age is 60 YEAR and his grandson's present age is 6 years _________________________ _________________________ ★ Question ★ Gopi's age is 3 ties his son age. 10 years ago he was five time times his son age. Present age of both? ★ Solution ★ $\bf \: Let \: Gopi's \: son \: age =x$ $\bf \: Gopi's \: age =3x$ Ten years ago, he was 5 times the age of his son. $\bf \: Therefore, 3x−10=5(x−10)$ $\bf3x−10=5x−50$ $\bf2x=40$ $\bf \: x=20$ Gopi's son is 20 yrs old Gopi is 3x=3×20=60 yrs old. _________________________ ★ Hope you UNDERSTAND this concept MATE ★