Question

factorise p to the power 4 minus 4p^2-5-6q-p^2​

Answer 1

ANSWER

Let us first find the HCF of all the terms of the given polynomial 4p

2-5pq−6pq 2

by factoring the terms :

4p 2 = 2 × 2 × p × p

5pq=5×p×q

6pq

6pq 2 =2×3×p×q×q

6pq 2 =2×3×p×q×qTherefore, HCF=p

6pq 2 =2×3×p×q×qTherefore, HCF=pNow, we factor out the HCF from each term of the polynomial 4p 2+5pq−6pq 2

6pq 2 =2×3×p×q×qTherefore, HCF=pNow, we factor out the HCF from each term of the polynomial 4p 2+5pq−6pq 2 as shown:

:4p 2 +5pq−6pq 2=p(4p+5q−6q 2)

4p 2+5pq−6pq 2 =p(4p+5q−6q 2)

4p 2+5pq−6pq 2 =p(4p+5q−6q 2)Hence, 4p 2+5pq−6pq 2=p(4p+5q−6q 2)

I HOPE THIS ANSWER IS HELPFULL