Question

1.x^2+7^2+4/49 2.m^2-10m+253.25x^2+20xy+4y^2 4.p^2-pq+4/1q^2

Answer 1

1.x^2+7x+49/4

=x²+2*7/2*x+(7/2)²

=(x+7/2)²

2.m^2-10m+25

=m²-2*m*5+5²

=(m-5)²

3.25x^2+20xy+4y^2

=(5x)²+2*5x*2y+(2y)²

=(5x+2y)²

4.p^2-pq+1/4q^2

=p²-2*p*1/2q+(1/2q)²

=(p-1/2q)²

5.-x^2+14xy-49y^2

=-[x²-2*x*7y+(7y)²]

=-(x-7y)²

6.x^4-8x^2y^2+16y^4

=(x²)²-2*x²*4y²+(4y²)²

=(x²-4y²)²

=[(x+2y)(x-2y)]²

=(x+2y)²(x-2y)²