गुणनखंड

Sponsor Area

Question
CBSEHENMAH8003569

गुणनखंड कीजिए:
straight x to the power of 4 minus left parenthesis straight x minus straight z right parenthesis to the power of 4

Solution

straight x to the power of 4 minus left parenthesis straight x minus straight z right parenthesis to the power of 4 space equals space left parenthesis straight x squared right parenthesis squared space minus space left square bracket left parenthesis straight x minus straight z right parenthesis squared right square bracket squared
                  equals open square brackets straight x squared plus left parenthesis straight x minus straight z right parenthesis squared close square brackets space open square brackets straight x squared minus left parenthesis straight x minus straight z right parenthesis squared close square brackets

                    equals left square bracket straight x squared plus left parenthesis straight x minus straight z right parenthesis squared right square bracket space open square brackets straight x plus left parenthesis straight x minus straight z right parenthesis right square bracket close square brackets space left square bracket straight x minus left parenthesis straight x minus straight z right parenthesis right square bracket
                   equals open square brackets straight x squared plus left parenthesis straight x minus straight z right parenthesis squared close square brackets space left parenthesis 2 straight x minus straight z right parenthesis thin space left parenthesis straight z right parenthesis
                     equals straight z left parenthesis 2 straight x minus straight z right parenthesis left parenthesis straight x squared plus left parenthesis straight x minus straight z right parenthesis squared right parenthesis
                    

Sponsor Area

Question
CBSEHHIMAH8004017

गुणनखंड कीजिए:
12x + 36

Solution

दिया गया है    12x = 3 cross times 2 cross times 2 cross times straight x space equals space left parenthesis 2 cross times 2 cross times 3 right parenthesis cross times straight x
                   36 = space space space space 2 cross times 2 cross times 3 cross times 3 equals left parenthesis 2 cross times 2 cross times 3 right parenthesis cross times 3
∴        12x + 36 = [(2 cross times2 cross times3) cross timesx] + (2 cross times2 cross times3) cross times3
                         = left parenthesis 2 cross times 2 cross times 3 right parenthesis left square bracket straight x plus 3 right square bracket
                         = 12(x+3)

Question
CBSEHHIMAH8004021

गुणनखंड कीजिए:
22y – 33z

Solution

दिया गया है,               22y = 2 × 11 × y
                            33z = 3 × 11 × z
∴                22y - 33z   = [2 × (11) × y] - [3 × (11) × z]
                                 = (11)[2 × y - 3 × z]
                                 = 11[2y - 3z]














Question
CBSEHHIMAH8004022

गुणनखंड कीजिए:
14pq + 35pqr

Solution

            14pq = 2 × 7 × p × q = 2 × (7 × p × q)
                         35pqr = 5 × 7 × p × q × r = 5 × (7 × p × q) × r
     ∴          14pq + 35 pqr = 2 × (7 × p × q) + 5 × (7 × p × q) × r
                                   = (7 × p × q)[2 + 5 × r]
                                   = 7pq(2+5r)