factorise:: 1 - 18a - 63a^2
Answers
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Answer:
STEP1:Equation at the end of step 1
(1 - 18a) - (32•7a2)
STEP2:
STEP3:Pulling out like terms
3.1 Pull out like factors :
-63a2 - 18a + 1 = -1 • (63a2 + 18a - 1)
Trying to factor by splitting the middle term
3.2 Factoring 63a2 + 18a - 1
The first term is, 63a2 its coefficient is 63 .
The middle term is, +18a its coefficient is 18 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 63 • -1 = -63
Step-2 : Find two factors of -63 whose sum equals the coefficient of the middle term, which is 18 .
-63 + 1 = -62 -21 + 3 = -18 -9 + 7 = -2 -7 + 9 = 2 -3 + 21 = 18 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 21
63a2 - 3a + 21a - 1
Step-4 : Add up the first 2 terms, pulling out like factors :
3a • (21a-1)
Add up the last 2 terms, pulling out common factors :
1 • (21a-1)
Step-5 : Add up the four terms of step 4 :
(3a+1) • (21a-1)