Question

представьте выражение в виде произведения​

Answer 1

$(2a+5)^2-49=(2a+5-7)(2a+5+7)=(2a-2)(2a+12)\\\\\\(5x-2y)^2-9y^2=(5x-2y-3y)(5x-2y+3y)=(5(x-y))(5x+y)\\\\\\p^2-(3p+1)^2=(p-3p-1)(p+3p+1)=-(2p+1)(4p+1)\\\\\\(2a+b)^2-(a-2b)^2=(2a+b-a+2b)(2a+b+a-2b)=(a+3b)(3a-b)\\\\\\(x+y)^2-(x-y)^2=(x+y-x+y)(x+y+x-y)=2y\cdot 2x=4xy\\\\\\\(4p-q)^2-(2p+3q)^2=(4p-q-2p-3q)(4p-q+2p+3q)=\\\\=(2p-4q)(6p+2q)=4(p-2q)(3p+q)$