Question -
Answer -
(i) ax2 + bx = x(ax +5)
(ii) 7p2 + 21q2 = 7(p2 + 3q2)
(iii) 2x3 + 2xy2 + 2xz2 = 2x(x2 + y2 + z2)
(iv) am2 + bm2 + bn2 + an2
= m2 (a + b) + n2(a + b)
= (a + b)(m2 + n2)
(v) (lm + l) + m + 1
= l(m + 1) + (m + 1)
= (m + 1) (l + 1)
(vi) y(y + z) + 9(y + z) = (y + z)(y + 9)
(vii) 5y2 – 20y – 8z +2yz
= 5y2 – 20y + 2yz –8z
= 5y(y – 4) + 2z(y – 4)
= (y – 4) (5y + 2z)
(viii) 10ab + 4a + 5b + 2
= 2a(5b + 2) + 1(5b + 2)
= (5b + 2)(2a + 1)
(ix) 6xy – 4y + 6 – 9x
= 6xy – 4y – 9x + 6
= 2y(3x – 2) – 3(3x – 2)
= (3x – 2) (2y – 3)