Question

The product of 4p×4p²×6p²q² is​

Answer 1

Answer:

(1): "p2" was replaced by "p^2".

Step by step solution :

STEP

1

:

Equation at the end of step 1

(22p2 + 4p) + 1 = 0

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 4p2+4p+1

The first term is, 4p2 its coefficient is 4 .

The middle term is, +4p its coefficient is 4 .

The last term, "the constant", is +1

Step-1 : Multiply the coefficient of the first term by the constant 4 • 1 = 4

Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is 4 .

-4 + -1 = -5

-2 + -2 = -4

-1 + -4 = -5

1 + 4 = 5

2 + 2 = 4 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 2 and 2

4p2 + 2p + 2p + 1

Step-4 : Add up the first 2 terms, pulling out like factors :

2p • (2p+1)

Add up the last 2 terms, pulling out common factors :

1 • (2p+1)

Step-5 : Add up the four terms of step 4 :

(2p+1) • (2p+1)

Which is the desired factorization

Answer 2

Answer:

96p^4q^2

Step-by-step explanation:

I hope it help you