Question

15lm (2p²–2q²) ÷ 3l (p + q), Factorize the expression and divide them as directed.

Answer 1

= 3 × 13 × 2 × y × y × y × [(5y)2 − (7)2]

= 3 × 13 × 2 × y × y × y (5y − 7) (5y + 7)

26y2(5y + 7) = 2 × 13 × y × y × (5y + 7)

39y3(50y2 − 98) ÷26y2 (5y + 7)

Answer 2

Answer:

10m(p-q)

Step-by-step explanation:

We have to find the value of 15lm(2p²-2q²) ÷ 3l(p+q).

So, to evaluate the above operation we will first factorize the first term.

Hence, we have, 15lm(2p²-2q²)

=30lm(p²-q²) {Taking 2 as a common and multiplying with 15}

=30lm (p+q)(p-q) {Using the formula (a²-b²)= (a+b)(a-b)} .... (1)

Now, we will divide expression (1) with 3l(p+q), and we will get the result as [30lm (p+q)(p-q)/3l(p+q)] = 10m(p-q) (Answer)