Question

допоможіть алгебра 7 клас ​

Answer 1

$\displaystyle\bf\\1)\\\\p^{2} - q^{2} =(p-q)(p+q)\\\\2)\\\\8y^{3}-27x^{3} } =(2y)^{3} -(3x)^{3} =\Big(2y-3x\Big)\cdot\Big[(2y)^{2} +2y\cdot 3x+(3x)^{2} \Big]=\\\\=(2y-3x)\cdot(4y^{2} +6xy+9x^{2} )\\\\3)\\\\49x^{2} -25y^{2} =(7x)^{2} -(5y)^{2} =(7x-5y)(7x+5y)\\\\4)\\\\64t^{3} +125s^{3} =(4t)^{3}+(5s)^{3} =\Big(4t+5s\Big)\cdot\Big[(4t)^{2} -4t\cdot 5s+(5s)^{2}\Big]=\\\\=(4t+5s)\cdot(16t^{2} -20ts+25s^{2} )$