Question

Answer 1

`a)16x^2+24x+9=(4x+3)^2`

`b)-36a^2b^2+12ab-1=-(36a^2b^2-12ab+1)=-(6ab-1)^2`

`c)y^2-2y(x-5)+x^2-10+25=y^2-2y(x-5)+(x-5)^2=(y-x+5)^2`

`d)(3-7x)^2-2(3-7x)(x-2)+x^2-4x+4=(3-7x)^2-2(3-7x)(x-2)+(x-2)^2=(3-7x-x+4)^2=(7-8x)^2`

`e)81-(25x^2-10x+1)=81-(5x-1)^2=(9-5x+1)(9+5x-1)=(10-5x)(8+5x)`