Question

x^2+10x+25y^2+14y+492z^2+12z+18x^2-8x+16a^2-12a+363b^2-6b+36

Answer 1

x^2+10x+25

=(x+5)^2

y^2+14y+49

=(y+7)^2

2z^2+12z+18

=2(z^2+6z+9)

=2(z+3)^2

x^2-8x+16

=(x-4)^2

a^2-12a+36

=(a-6)^2

3b^2-6b+3

=3(b^2-2b+1)

=3(b-1)^2

6p^4-24q^2

=6(p^4-4q^2)

=6(p^2+2q)(p^2-2q)

2p^4-18p^2q^2

=2p^2(p^2-9q^2)

=2p^2(p+3q)(p-3q)

x^4y^2-4x^2y^4

=x^2y^2(x^2-4y^2)

=x^2y^2(x+2y)(x-2y)

32xy^4-2x^5

=2x(16y^4-x^4)

=2x(4y^2+x^2)(4y^2-x^2)

=2x(4y^2+x^2)(2y+x)(2y-x)

642^4-4b^4

=(642^2+2b^2)(642^2-2b^2)

=16(321^2+b^2)(321^2-b^2)

=16(103042+b^2)(321+b)(321-b)