please answer fastly because tomorrow i have slip test
answer every question
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the circled ones ??
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Ans 2) ii) 49x²- 25y² = (7x)² - (5y)²
= (7x+5y)(7x-5y)
ix) 81x^4 - 121x^2
= (9x²)² - (11x)²
= (9x²+11x)(9x²-11x)
x) (p²+q²-2pq) - r²
= (p-q)²- (r)²
= (p-q+r) (p-q-r)
= (7x+5y)(7x-5y)
ix) 81x^4 - 121x^2
= (9x²)² - (11x)²
= (9x²+11x)(9x²-11x)
x) (p²+q²-2pq) - r²
= (p-q)²- (r)²
= (p-q+r) (p-q-r)
Answered by
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1.
49x²-25y²
(7x)²-(5y)²
a²-b²=(a+b)(a-b)
⇒(7x+5y)(7x-5y)
2.
(p²-2pq-q²)-r²
(p-q)²-(r)² (a-b)²=a²-2ab+b²
(a+b)(a-b)=a²-b²
(p-q+r)(p-q-r)
3.
81x⁴-121y⁴
((9x)²)²-((11y)²)²
(9x²+11y²)(9x²-11y²)
(9x²+11y²)(9x+11y)(9x-11y)
4.
(x+y)²-(x-y)²
(x²+2xy+y²)-(x²-2xy+y²)
=4xy
49x²-25y²
(7x)²-(5y)²
a²-b²=(a+b)(a-b)
⇒(7x+5y)(7x-5y)
2.
(p²-2pq-q²)-r²
(p-q)²-(r)² (a-b)²=a²-2ab+b²
(a+b)(a-b)=a²-b²
(p-q+r)(p-q-r)
3.
81x⁴-121y⁴
((9x)²)²-((11y)²)²
(9x²+11y²)(9x²-11y²)
(9x²+11y²)(9x+11y)(9x-11y)
4.
(x+y)²-(x-y)²
(x²+2xy+y²)-(x²-2xy+y²)
=4xy
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