Answer:
(i) ax2 + bx
= a × x × x + b × x
= x (ax + b)
(ii) 7p2 + 21q2
= 7 × p × p + 3 × 7 × q × q
= 7(p2 + 3q2)
(iii) 2x3 + 2xy2 + 2xz2
= 2x( x2 + y2 + z2 )
(iv) am2 + bm2 + bn2 + an2
= am2 + bm2 + an2 + bn2
= m2(a + b) + n2(a + b)
= (a + b)(m2 + n2 )
(v) (lm + l ) + m + 1
= lm + m + l + 1
= m(l + 1) + 1(l + 1)
= (l + 1)(m + 1)
(vi) y(y + z) + 9(y + z)
= (y + z)(y + 9)
(vii) 5y2 - 20 y - 8z + 2yz
= 5y2 - 20y + 2yz - 8z
= 5y(y - 4) + 2z(y - 4)
= (y - 4)(5y + 2z)
(viii) 10ab + 4a + 5b + 2
= 10ab + 5b + 4a + 2
= 5b(2a +1) + 2(2a +1)
= (2a +1)(5b + 2)
(ix) 6xy - 4 y + 6 - 9x
= 6xy - 9x - 4 y + 6
= 3x(2y - 3) - 2(2 y - 3)
= (2y - 3)(3x - 2)
Step-by-step explanation:
pls brain list
I hope it help for you. thanks
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Answers & Comments
Answer:
(i) ax2 + bx
= a × x × x + b × x
= x (ax + b)
(ii) 7p2 + 21q2
= 7 × p × p + 3 × 7 × q × q
= 7(p2 + 3q2)
(iii) 2x3 + 2xy2 + 2xz2
= 2x( x2 + y2 + z2 )
(iv) am2 + bm2 + bn2 + an2
= am2 + bm2 + an2 + bn2
= m2(a + b) + n2(a + b)
= (a + b)(m2 + n2 )
(v) (lm + l ) + m + 1
= lm + m + l + 1
= m(l + 1) + 1(l + 1)
= (l + 1)(m + 1)
(vi) y(y + z) + 9(y + z)
= (y + z)(y + 9)
(vii) 5y2 - 20 y - 8z + 2yz
= 5y2 - 20y + 2yz - 8z
= 5y(y - 4) + 2z(y - 4)
= (y - 4)(5y + 2z)
(viii) 10ab + 4a + 5b + 2
= 10ab + 5b + 4a + 2
= 5b(2a +1) + 2(2a +1)
= (2a +1)(5b + 2)
(ix) 6xy - 4 y + 6 - 9x
= 6xy - 9x - 4 y + 6
= 3x(2y - 3) - 2(2 y - 3)
= (2y - 3)(3x - 2)
Step-by-step explanation:
pls brain list
I hope it help for you. thanks