expand (3m+5n-p)^2 plz yaaarrr plzzz
Answers
GIVEN :-
- (3m + 5n - p)²
TO EXPAND :-
- (3m + 5n - p)²
SOLUTION :-
→ (3m + 5n - p)²
★ By using identity :- (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca.
→ (3m)² + (5n)² + (-p)² + 2 × 3m × 5n + 2 × 5n × (-p) + 2 × (-p) × 3m
→ 9m² + 25n² + p² + 2 × 10mn + 2 × (-5np) + 2 × (-3mp)
→ 9m² + 25n² + p² + 20mn - 10np - 6mp.
★ Hence the required answer is 9m² + 25n² + p² + 20mn - 10np - 6mp.
ADDITIONAL DETAILS :-
→ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca.
→ ( x + y )² = x² + 2xy + y²
→ ( x - y )² = x² - 2xy + y²
→ ( x - y ) ( x -y ) = ( x - y )²
→ ( x + y ) ( x + y ) = ( x + y )²
→ x² - y² = ( x + y ) ( x - y )
→ ( x + a ) ( x + b ) = x² + ( a + b)x + ab
Step-by-step explanation:
(3m+5n-p)2
expand it
(3m+5n−p)(3m+5n−p)
by multiplying each term in the first expression by each term in the second expression.
3m(3m+3m(n)+3m(−p)+5n(3m)
(5n5n)+5n(−p)−p(3m)−p(5n)−p(-p)
hope it will help u
mark it as brainliest!!!