Question

Expand -: i ) ( - p + 4q - 3r ) ^ 2 plz solve fast

Answer 1

=(-p)^2+(4q)^2+(-3r)^2+2(-p)(4q)+2(4q)(-3r)+2(-3r)(-p)
=p^2+16q^2+9r^2-8pq-24qr+6pr

Answer 2

Given,

(-p+4q-3r)²

To find,

The expanded expression of (-p+4q-3r)².

Solution,

The expanded expression of (-p+4q-3r)² will be p² + 16q² + 9r² - 8pq - 24qr + 6pr.

We can easily solve this problem by following the given steps.

Now, if we carefully observe the given expression we will find that this can be solved using (a+b+c)² identity.

In this case,

a = -p, b = 4q and c = -3r

(a+b+c)² = a² + b² + c² + 2ab + 2bc + 2ca

Using this identity,

(-p+4q-3r)² = (-p)² + (4q)² + (-3r)² + 2(-p×4q) + 2(4q×-3r) + 2(-3r×-p)

(-p+4q-3r)² = p² + 16q² + 9r² - 8pq - 24qr + 6pr

Hence, the expanded expression of (-p+4q-3r)² is p² + 16q² + 9r² - 8pq - 24qr + 6pr.

( Note that the signs in the formula will remain the same the values of a, b, and c might change with their signs. So, their signs are also put inside the brackets with them.)