Factorise the following using appropriate identities:
(i)49a^2+70ab+25b^2
(iii) t^2-2t+1
(iv)x^2+3x+2
please solve and give me step by step explainations for this 3 sums and (ii) question given in pic also.
send correct answer only,If it is wrong I will report your answer.
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Step-by-step explanation:
(1) (7a)^2 + 2 x 7a x 5b + (5b)^2 {using a^2+2ab+b^2=(a+b)^2}
so factors are (7a+5b) (7a+5b)
(3) similarly (t)^2 -2(t)(1)+(1)^2 {using a^2-2ab+b^2=(a-b)^2}
(t-1) (t-1) are factors
(4) (x)^2+x+2x+2 {using splitting the middle term}
x(x+1) +2(x+1)
so (x+1) (x+2) ar factors
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