(A) factorise the following algebraic expression:-
m) (7a - 6b)^2 - 16 c^2
n) (4x + 5y)^2 - 1
o) 16x^2 - (5y + 7)^2
p) x^2 - 17x + 60
q) a^2 + a + 1/4
r) 100 - (a - 4)^2
plss help me guys its urgent plss solve these all questions
Answers
Step-by-step explanation:
m)(7a-6b)^2-16c^2
(7a-6b)^2-(4c)^2
by a^2-b^2=(a-b) (a+b) identity
(7a-6b+4c) (7a-6b-4c)Answer
n)(4x+5y)^2-1
(4x+5y)^2-(1)^2
by a^2-b^2=(a+b)(a-b) identity
(4x+5y+1)(4x+5y-1)Answer
o) 16x^2-(5y+7)^2
(4x)^2-(5y+7)^2
by a^2-b^2=(a+b)(a-b)identity
(4x+5y+7)(4x-5y-7)Answer
p) x^2-17x+60
x^2-12x-5x+60
(x^2-12x)-(5x-60)
x(x-12)-5(x-12)
(x-5)(x-12)Answer
q) a^2+a+1/4
by (a+b)^2=a^2+2ab+b^2
a^2+2×a×1/2+(1/2)^2
(a+1/2)^2=(a+1/2)(a+1/2)Answer
r) 100-(a-4)^2
(10)^2-(a-4)^2
by a^2-b^2=(a+b)(a-b)
(10+a-4)(10-a+4)Answer
Step-by-step explanation:
(A) factorise the following algebraic expression:-
m) (7a - 6b)^2 - 16 c^2
n) (4x + 5y)^2 - 1
o) 16x^2 - (5y + 7)^2
p) x^2 - 17x + 60
q) a^2 + a + 1/4
r) 100 - (a - 4)^2
plss help me guys its urgent plss solve these all questions